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Finding the Third Proportional to 177,562 and 377,156

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Solution

The third proportional to 177,562 and 377,156 is: 801,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,562 : 377,156 = 377,156 : x
  2. Step 2: Convert to fraction form
    177,562/377,156 = 377,156/x
  3. Step 3: Cross multiply
    177,562x = 377,156 × 377,156
  4. Step 4: Simplify right side
    177,562x = 142,246,648,336
  5. Step 5: Solve for x
    x = 142,246,648,336/177,562
  6. Step 6: Final answer
    x = 801,109.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.