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Finding the Third Proportional to 177,060 and 388,608

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Solution

The third proportional to 177,060 and 388,608 is: 852,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,060 : 388,608 = 388,608 : x
  2. Step 2: Convert to fraction form
    177,060/388,608 = 388,608/x
  3. Step 3: Cross multiply
    177,060x = 388,608 × 388,608
  4. Step 4: Simplify right side
    177,060x = 151,016,177,664
  5. Step 5: Solve for x
    x = 151,016,177,664/177,060
  6. Step 6: Final answer
    x = 852,909.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.