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Finding the Third Proportional to 157,424 and 339,724

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Solution

The third proportional to 157,424 and 339,724 is: 733,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,424 : 339,724 = 339,724 : x
  2. Step 2: Convert to fraction form
    157,424/339,724 = 339,724/x
  3. Step 3: Cross multiply
    157,424x = 339,724 × 339,724
  4. Step 4: Simplify right side
    157,424x = 115,412,396,176
  5. Step 5: Solve for x
    x = 115,412,396,176/157,424
  6. Step 6: Final answer
    x = 733,130.88

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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.