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Finding the Third Proportional to 177,160 and 269,020

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Solution

The third proportional to 177,160 and 269,020 is: 408,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,160 : 269,020 = 269,020 : x
  2. Step 2: Convert to fraction form
    177,160/269,020 = 269,020/x
  3. Step 3: Cross multiply
    177,160x = 269,020 × 269,020
  4. Step 4: Simplify right side
    177,160x = 72,371,760,400
  5. Step 5: Solve for x
    x = 72,371,760,400/177,160
  6. Step 6: Final answer
    x = 408,510.73

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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.