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Finding the Third Proportional to 116,542 and 255,230

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Solution

The third proportional to 116,542 and 255,230 is: 558,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,542 : 255,230 = 255,230 : x
  2. Step 2: Convert to fraction form
    116,542/255,230 = 255,230/x
  3. Step 3: Cross multiply
    116,542x = 255,230 × 255,230
  4. Step 4: Simplify right side
    116,542x = 65,142,352,900
  5. Step 5: Solve for x
    x = 65,142,352,900/116,542
  6. Step 6: Final answer
    x = 558,960.31

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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.