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Finding the Third Proportional to 115,854 and 252,996

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Solution

The third proportional to 115,854 and 252,996 is: 552,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854 : 252,996 = 252,996 : x
  2. Step 2: Convert to fraction form
    115,854/252,996 = 252,996/x
  3. Step 3: Cross multiply
    115,854x = 252,996 × 252,996
  4. Step 4: Simplify right side
    115,854x = 64,006,976,016
  5. Step 5: Solve for x
    x = 64,006,976,016/115,854
  6. Step 6: Final answer
    x = 552,479.64

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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.