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Finding the Third Proportional to 177,360 and 260,850

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Solution

The third proportional to 177,360 and 260,850 is: 383,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,360 : 260,850 = 260,850 : x
  2. Step 2: Convert to fraction form
    177,360/260,850 = 260,850/x
  3. Step 3: Cross multiply
    177,360x = 260,850 × 260,850
  4. Step 4: Simplify right side
    177,360x = 68,042,722,500
  5. Step 5: Solve for x
    x = 68,042,722,500/177,360
  6. Step 6: Final answer
    x = 383,641.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.