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Finding the Third Proportional to 177,792 and 266,416

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Solution

The third proportional to 177,792 and 266,416 is: 399,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,792 : 266,416 = 266,416 : x
  2. Step 2: Convert to fraction form
    177,792/266,416 = 266,416/x
  3. Step 3: Cross multiply
    177,792x = 266,416 × 266,416
  4. Step 4: Simplify right side
    177,792x = 70,977,485,056
  5. Step 5: Solve for x
    x = 70,977,485,056/177,792
  6. Step 6: Final answer
    x = 399,216.42

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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.