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Finding the Third Proportional to 176,142 and 392,626

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Solution

The third proportional to 176,142 and 392,626 is: 875,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142 : 392,626 = 392,626 : x
  2. Step 2: Convert to fraction form
    176,142/392,626 = 392,626/x
  3. Step 3: Cross multiply
    176,142x = 392,626 × 392,626
  4. Step 4: Simplify right side
    176,142x = 154,155,175,876
  5. Step 5: Solve for x
    x = 154,155,175,876/176,142
  6. Step 6: Final answer
    x = 875,175.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.