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Finding the Third Proportional to 116,552 and 255,520

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Solution

The third proportional to 116,552 and 255,520 is: 560,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,552 : 255,520 = 255,520 : x
  2. Step 2: Convert to fraction form
    116,552/255,520 = 255,520/x
  3. Step 3: Cross multiply
    116,552x = 255,520 × 255,520
  4. Step 4: Simplify right side
    116,552x = 65,290,470,400
  5. Step 5: Solve for x
    x = 65,290,470,400/116,552
  6. Step 6: Final answer
    x = 560,183.18

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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.