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Finding the Third Proportional to 177,592 and 270,820

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Solution

The third proportional to 177,592 and 270,820 is: 412,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,592 : 270,820 = 270,820 : x
  2. Step 2: Convert to fraction form
    177,592/270,820 = 270,820/x
  3. Step 3: Cross multiply
    177,592x = 270,820 × 270,820
  4. Step 4: Simplify right side
    177,592x = 73,343,472,400
  5. Step 5: Solve for x
    x = 73,343,472,400/177,592
  6. Step 6: Final answer
    x = 412,988.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.