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Finding the Third Proportional to 176,892 and 250,068

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Solution

The third proportional to 176,892 and 250,068 is: 353,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,892 : 250,068 = 250,068 : x
  2. Step 2: Convert to fraction form
    176,892/250,068 = 250,068/x
  3. Step 3: Cross multiply
    176,892x = 250,068 × 250,068
  4. Step 4: Simplify right side
    176,892x = 62,534,004,624
  5. Step 5: Solve for x
    x = 62,534,004,624/176,892
  6. Step 6: Final answer
    x = 353,515.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.