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Finding the Third Proportional to 157,112 and 339,126

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Solution

The third proportional to 157,112 and 339,126 is: 732,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,112 : 339,126 = 339,126 : x
  2. Step 2: Convert to fraction form
    157,112/339,126 = 339,126/x
  3. Step 3: Cross multiply
    157,112x = 339,126 × 339,126
  4. Step 4: Simplify right side
    157,112x = 115,006,443,876
  5. Step 5: Solve for x
    x = 115,006,443,876/157,112
  6. Step 6: Final answer
    x = 732,002.93

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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.