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Finding the Third Proportional to 142,338 and 329,477

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Solution

The third proportional to 142,338 and 329,477 is: 762,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,338 : 329,477 = 329,477 : x
  2. Step 2: Convert to fraction form
    142,338/329,477 = 329,477/x
  3. Step 3: Cross multiply
    142,338x = 329,477 × 329,477
  4. Step 4: Simplify right side
    142,338x = 108,555,093,529
  5. Step 5: Solve for x
    x = 108,555,093,529/142,338
  6. Step 6: Final answer
    x = 762,657.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.