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Finding the Third Proportional to 157,438 and 339,751

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Solution

The third proportional to 157,438 and 339,751 is: 733,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,438 : 339,751 = 339,751 : x
  2. Step 2: Convert to fraction form
    157,438/339,751 = 339,751/x
  3. Step 3: Cross multiply
    157,438x = 339,751 × 339,751
  4. Step 4: Simplify right side
    157,438x = 115,430,742,001
  5. Step 5: Solve for x
    x = 115,430,742,001/157,438
  6. Step 6: Final answer
    x = 733,182.22

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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.