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Finding the Third Proportional to 177,080 and 265,812

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Solution

The third proportional to 177,080 and 265,812 is: 399,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,080 : 265,812 = 265,812 : x
  2. Step 2: Convert to fraction form
    177,080/265,812 = 265,812/x
  3. Step 3: Cross multiply
    177,080x = 265,812 × 265,812
  4. Step 4: Simplify right side
    177,080x = 70,656,019,344
  5. Step 5: Solve for x
    x = 70,656,019,344/177,080
  6. Step 6: Final answer
    x = 399,006.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.