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Finding the Third Proportional to 142,470 and 221,481

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Solution

The third proportional to 142,470 and 221,481 is: 344,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470 : 221,481 = 221,481 : x
  2. Step 2: Convert to fraction form
    142,470/221,481 = 221,481/x
  3. Step 3: Cross multiply
    142,470x = 221,481 × 221,481
  4. Step 4: Simplify right side
    142,470x = 49,053,833,361
  5. Step 5: Solve for x
    x = 49,053,833,361/142,470
  6. Step 6: Final answer
    x = 344,309.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.