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Finding the Third Proportional to 176,138.72 and 392,617.97

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Solution

The third proportional to 176,138.72 and 392,617.97 is: 875,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.72 : 392,617.97 = 392,617.97 : x
  2. Step 2: Convert to fraction form
    176,138.72/392,617.97 = 392,617.97/x
  3. Step 3: Cross multiply
    176,138.72x = 392,617.97 × 392,617.97
  4. Step 4: Simplify right side
    176,138.72x = 154,148,869,385.38
  5. Step 5: Solve for x
    x = 154,148,869,385.38/176,138.72
  6. Step 6: Final answer
    x = 875,156.07

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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.