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Finding the Third Proportional to 177,582 and 377,330

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Solution

The third proportional to 177,582 and 377,330 is: 801,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,582 : 377,330 = 377,330 : x
  2. Step 2: Convert to fraction form
    177,582/377,330 = 377,330/x
  3. Step 3: Cross multiply
    177,582x = 377,330 × 377,330
  4. Step 4: Simplify right side
    177,582x = 142,377,928,900
  5. Step 5: Solve for x
    x = 142,377,928,900/177,582
  6. Step 6: Final answer
    x = 801,758.79

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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.