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Finding the Third Proportional to 74,470 and 159,452

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Solution

The third proportional to 74,470 and 159,452 is: 341,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,470 : 159,452 = 159,452 : x
  2. Step 2: Convert to fraction form
    74,470/159,452 = 159,452/x
  3. Step 3: Cross multiply
    74,470x = 159,452 × 159,452
  4. Step 4: Simplify right side
    74,470x = 25,424,940,304
  5. Step 5: Solve for x
    x = 25,424,940,304/74,470
  6. Step 6: Final answer
    x = 341,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.