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Finding the Third Proportional to 157,330 and 235,949

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Solution

The third proportional to 157,330 and 235,949 is: 353,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,330 : 235,949 = 235,949 : x
  2. Step 2: Convert to fraction form
    157,330/235,949 = 235,949/x
  3. Step 3: Cross multiply
    157,330x = 235,949 × 235,949
  4. Step 4: Simplify right side
    157,330x = 55,671,930,601
  5. Step 5: Solve for x
    x = 55,671,930,601/157,330
  6. Step 6: Final answer
    x = 353,854.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.