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Finding the Third Proportional to 116,479 and 254,767

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Solution

The third proportional to 116,479 and 254,767 is: 557,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,479 : 254,767 = 254,767 : x
  2. Step 2: Convert to fraction form
    116,479/254,767 = 254,767/x
  3. Step 3: Cross multiply
    116,479x = 254,767 × 254,767
  4. Step 4: Simplify right side
    116,479x = 64,906,224,289
  5. Step 5: Solve for x
    x = 64,906,224,289/116,479
  6. Step 6: Final answer
    x = 557,235.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.