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Finding the Third Proportional to 152,874 and 231,623

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Solution

The third proportional to 152,874 and 231,623 is: 350,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874 : 231,623 = 231,623 : x
  2. Step 2: Convert to fraction form
    152,874/231,623 = 231,623/x
  3. Step 3: Cross multiply
    152,874x = 231,623 × 231,623
  4. Step 4: Simplify right side
    152,874x = 53,649,214,129
  5. Step 5: Solve for x
    x = 53,649,214,129/152,874
  6. Step 6: Final answer
    x = 350,937.47

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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.