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Finding the Third Proportional to 114,550 and 251,687

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Solution

The third proportional to 114,550 and 251,687 is: 553,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,550 : 251,687 = 251,687 : x
  2. Step 2: Convert to fraction form
    114,550/251,687 = 251,687/x
  3. Step 3: Cross multiply
    114,550x = 251,687 × 251,687
  4. Step 4: Simplify right side
    114,550x = 63,346,345,969
  5. Step 5: Solve for x
    x = 63,346,345,969/114,550
  6. Step 6: Final answer
    x = 553,001.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.