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Finding the Third Proportional to 152,717.91 and 236,233.97

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Solution

The third proportional to 152,717.91 and 236,233.97 is: 365,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,717.91 : 236,233.97 = 236,233.97 : x
  2. Step 2: Convert to fraction form
    152,717.91/236,233.97 = 236,233.97/x
  3. Step 3: Cross multiply
    152,717.91x = 236,233.97 × 236,233.97
  4. Step 4: Simplify right side
    152,717.91x = 55,806,487,991.38
  5. Step 5: Solve for x
    x = 55,806,487,991.38/152,717.91
  6. Step 6: Final answer
    x = 365,422.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.