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Finding the Third Proportional to 177,306 and 388,524

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Solution

The third proportional to 177,306 and 388,524 is: 851,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,306 : 388,524 = 388,524 : x
  2. Step 2: Convert to fraction form
    177,306/388,524 = 388,524/x
  3. Step 3: Cross multiply
    177,306x = 388,524 × 388,524
  4. Step 4: Simplify right side
    177,306x = 150,950,898,576
  5. Step 5: Solve for x
    x = 150,950,898,576/177,306
  6. Step 6: Final answer
    x = 851,358.10

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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.