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Finding the Third Proportional to 157,327 and 340,897

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Solution

The third proportional to 157,327 and 340,897 is: 738,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,327 : 340,897 = 340,897 : x
  2. Step 2: Convert to fraction form
    157,327/340,897 = 340,897/x
  3. Step 3: Cross multiply
    157,327x = 340,897 × 340,897
  4. Step 4: Simplify right side
    157,327x = 116,210,764,609
  5. Step 5: Solve for x
    x = 116,210,764,609/157,327
  6. Step 6: Final answer
    x = 738,657.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.