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Finding the Third Proportional to 157,439 and 339,754

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Solution

The third proportional to 157,439 and 339,754 is: 733,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,439 : 339,754 = 339,754 : x
  2. Step 2: Convert to fraction form
    157,439/339,754 = 339,754/x
  3. Step 3: Cross multiply
    157,439x = 339,754 × 339,754
  4. Step 4: Simplify right side
    157,439x = 115,432,780,516
  5. Step 5: Solve for x
    x = 115,432,780,516/157,439
  6. Step 6: Final answer
    x = 733,190.51

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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.