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Finding the Third Proportional to 115,614 and 252,396

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Solution

The third proportional to 115,614 and 252,396 is: 551,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614 : 252,396 = 252,396 : x
  2. Step 2: Convert to fraction form
    115,614/252,396 = 252,396/x
  3. Step 3: Cross multiply
    115,614x = 252,396 × 252,396
  4. Step 4: Simplify right side
    115,614x = 63,703,740,816
  5. Step 5: Solve for x
    x = 63,703,740,816/115,614
  6. Step 6: Final answer
    x = 551,003.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.