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Finding the Third Proportional to 115,540 and 250,034

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Solution

The third proportional to 115,540 and 250,034 is: 541,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,540 : 250,034 = 250,034 : x
  2. Step 2: Convert to fraction form
    115,540/250,034 = 250,034/x
  3. Step 3: Cross multiply
    115,540x = 250,034 × 250,034
  4. Step 4: Simplify right side
    115,540x = 62,517,001,156
  5. Step 5: Solve for x
    x = 62,517,001,156/115,540
  6. Step 6: Final answer
    x = 541,085.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.