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Finding the Third Proportional to 147,472.50 and 222,417

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Solution

The third proportional to 147,472.50 and 222,417 is: 335,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,472.50 : 222,417 = 222,417 : x
  2. Step 2: Convert to fraction form
    147,472.50/222,417 = 222,417/x
  3. Step 3: Cross multiply
    147,472.50x = 222,417 × 222,417
  4. Step 4: Simplify right side
    147,472.50x = 49,469,321,889
  5. Step 5: Solve for x
    x = 49,469,321,889/147,472.50
  6. Step 6: Final answer
    x = 335,447.77

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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.