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Finding the Third Proportional to 147,252.94 and 222,106.78

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Solution

The third proportional to 147,252.94 and 222,106.78 is: 335,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,252.94 : 222,106.78 = 222,106.78 : x
  2. Step 2: Convert to fraction form
    147,252.94/222,106.78 = 222,106.78/x
  3. Step 3: Cross multiply
    147,252.94x = 222,106.78 × 222,106.78
  4. Step 4: Simplify right side
    147,252.94x = 49,331,422,277.24
  5. Step 5: Solve for x
    x = 49,331,422,277.24/147,252.94
  6. Step 6: Final answer
    x = 335,011.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.