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Finding the Third Proportional to 152,934 and 232,641

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Solution

The third proportional to 152,934 and 232,641 is: 353,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,934 : 232,641 = 232,641 : x
  2. Step 2: Convert to fraction form
    152,934/232,641 = 232,641/x
  3. Step 3: Cross multiply
    152,934x = 232,641 × 232,641
  4. Step 4: Simplify right side
    152,934x = 54,121,834,881
  5. Step 5: Solve for x
    x = 54,121,834,881/152,934
  6. Step 6: Final answer
    x = 353,890.14

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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.