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Finding the Third Proportional to 147,832 and 319,413

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Solution

The third proportional to 147,832 and 319,413 is: 690,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,832 : 319,413 = 319,413 : x
  2. Step 2: Convert to fraction form
    147,832/319,413 = 319,413/x
  3. Step 3: Cross multiply
    147,832x = 319,413 × 319,413
  4. Step 4: Simplify right side
    147,832x = 102,024,664,569
  5. Step 5: Solve for x
    x = 102,024,664,569/147,832
  6. Step 6: Final answer
    x = 690,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.