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Finding the Third Proportional to 115,023 and 250,959

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Solution

The third proportional to 115,023 and 250,959 is: 547,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,023 : 250,959 = 250,959 : x
  2. Step 2: Convert to fraction form
    115,023/250,959 = 250,959/x
  3. Step 3: Cross multiply
    115,023x = 250,959 × 250,959
  4. Step 4: Simplify right side
    115,023x = 62,980,419,681
  5. Step 5: Solve for x
    x = 62,980,419,681/115,023
  6. Step 6: Final answer
    x = 547,546.31

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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.