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Finding the Third Proportional to 147,410 and 222,348

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Solution

The third proportional to 147,410 and 222,348 is: 335,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410 : 222,348 = 222,348 : x
  2. Step 2: Convert to fraction form
    147,410/222,348 = 222,348/x
  3. Step 3: Cross multiply
    147,410x = 222,348 × 222,348
  4. Step 4: Simplify right side
    147,410x = 49,438,633,104
  5. Step 5: Solve for x
    x = 49,438,633,104/147,410
  6. Step 6: Final answer
    x = 335,381.81

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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.