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Finding the Third Proportional to 116,874 and 255,862

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Solution

The third proportional to 116,874 and 255,862 is: 560,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,874 : 255,862 = 255,862 : x
  2. Step 2: Convert to fraction form
    116,874/255,862 = 255,862/x
  3. Step 3: Cross multiply
    116,874x = 255,862 × 255,862
  4. Step 4: Simplify right side
    116,874x = 65,465,363,044
  5. Step 5: Solve for x
    x = 65,465,363,044/116,874
  6. Step 6: Final answer
    x = 560,136.24

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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.