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Finding the Third Proportional to 116,217 and 251,991

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Solution

The third proportional to 116,217 and 251,991 is: 546,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,217 : 251,991 = 251,991 : x
  2. Step 2: Convert to fraction form
    116,217/251,991 = 251,991/x
  3. Step 3: Cross multiply
    116,217x = 251,991 × 251,991
  4. Step 4: Simplify right side
    116,217x = 63,499,464,081
  5. Step 5: Solve for x
    x = 63,499,464,081/116,217
  6. Step 6: Final answer
    x = 546,387.05

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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.