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Finding the Third Proportional to 116,571 and 254,217

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Solution

The third proportional to 116,571 and 254,217 is: 554,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,571 : 254,217 = 254,217 : x
  2. Step 2: Convert to fraction form
    116,571/254,217 = 254,217/x
  3. Step 3: Cross multiply
    116,571x = 254,217 × 254,217
  4. Step 4: Simplify right side
    116,571x = 64,626,283,089
  5. Step 5: Solve for x
    x = 64,626,283,089/116,571
  6. Step 6: Final answer
    x = 554,394.17

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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.