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Finding the Third Proportional to 177,302 and 266,080

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Solution

The third proportional to 177,302 and 266,080 is: 399,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,302 : 266,080 = 266,080 : x
  2. Step 2: Convert to fraction form
    177,302/266,080 = 266,080/x
  3. Step 3: Cross multiply
    177,302x = 266,080 × 266,080
  4. Step 4: Simplify right side
    177,302x = 70,798,566,400
  5. Step 5: Solve for x
    x = 70,798,566,400/177,302
  6. Step 6: Final answer
    x = 399,310.59

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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.