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Finding the Third Proportional to 80,574 and 176,700

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Solution

The third proportional to 80,574 and 176,700 is: 387,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,574 : 176,700 = 176,700 : x
  2. Step 2: Convert to fraction form
    80,574/176,700 = 176,700/x
  3. Step 3: Cross multiply
    80,574x = 176,700 × 176,700
  4. Step 4: Simplify right side
    80,574x = 31,222,890,000
  5. Step 5: Solve for x
    x = 31,222,890,000/80,574
  6. Step 6: Final answer
    x = 387,505.77

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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.