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Finding the Third Proportional to 118,514 and 250,971

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Solution

The third proportional to 118,514 and 250,971 is: 531,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,514 : 250,971 = 250,971 : x
  2. Step 2: Convert to fraction form
    118,514/250,971 = 250,971/x
  3. Step 3: Cross multiply
    118,514x = 250,971 × 250,971
  4. Step 4: Simplify right side
    118,514x = 62,986,442,841
  5. Step 5: Solve for x
    x = 62,986,442,841/118,514
  6. Step 6: Final answer
    x = 531,468.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.