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Finding the Third Proportional to 153,542 and 232,671

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Solution

The third proportional to 153,542 and 232,671 is: 352,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,542 : 232,671 = 232,671 : x
  2. Step 2: Convert to fraction form
    153,542/232,671 = 232,671/x
  3. Step 3: Cross multiply
    153,542x = 232,671 × 232,671
  4. Step 4: Simplify right side
    153,542x = 54,135,794,241
  5. Step 5: Solve for x
    x = 54,135,794,241/153,542
  6. Step 6: Final answer
    x = 352,579.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.