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Finding the Third Proportional to 115,966.69 and 251,613

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Solution

The third proportional to 115,966.69 and 251,613 is: 545,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,966.69 : 251,613 = 251,613 : x
  2. Step 2: Convert to fraction form
    115,966.69/251,613 = 251,613/x
  3. Step 3: Cross multiply
    115,966.69x = 251,613 × 251,613
  4. Step 4: Simplify right side
    115,966.69x = 63,309,101,769
  5. Step 5: Solve for x
    x = 63,309,101,769/115,966.69
  6. Step 6: Final answer
    x = 545,924.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.