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Finding the Third Proportional to 153,860 and 232,839

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Solution

The third proportional to 153,860 and 232,839 is: 352,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860 : 232,839 = 232,839 : x
  2. Step 2: Convert to fraction form
    153,860/232,839 = 232,839/x
  3. Step 3: Cross multiply
    153,860x = 232,839 × 232,839
  4. Step 4: Simplify right side
    153,860x = 54,213,999,921
  5. Step 5: Solve for x
    x = 54,213,999,921/153,860
  6. Step 6: Final answer
    x = 352,359.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.