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Finding the Third Proportional to 157,157 and 339,424

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Solution

The third proportional to 157,157 and 339,424 is: 733,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,157 : 339,424 = 339,424 : x
  2. Step 2: Convert to fraction form
    157,157/339,424 = 339,424/x
  3. Step 3: Cross multiply
    157,157x = 339,424 × 339,424
  4. Step 4: Simplify right side
    157,157x = 115,208,651,776
  5. Step 5: Solve for x
    x = 115,208,651,776/157,157
  6. Step 6: Final answer
    x = 733,079.99

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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.