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Finding the Third Proportional to 153,842 and 233,651

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Solution

The third proportional to 153,842 and 233,651 is: 354,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842 : 233,651 = 233,651 : x
  2. Step 2: Convert to fraction form
    153,842/233,651 = 233,651/x
  3. Step 3: Cross multiply
    153,842x = 233,651 × 233,651
  4. Step 4: Simplify right side
    153,842x = 54,592,789,801
  5. Step 5: Solve for x
    x = 54,592,789,801/153,842
  6. Step 6: Final answer
    x = 354,862.71

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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.