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Finding the Third Proportional to 191,750 and 416,632

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Solution

The third proportional to 191,750 and 416,632 is: 905,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,750 : 416,632 = 416,632 : x
  2. Step 2: Convert to fraction form
    191,750/416,632 = 416,632/x
  3. Step 3: Cross multiply
    191,750x = 416,632 × 416,632
  4. Step 4: Simplify right side
    191,750x = 173,582,223,424
  5. Step 5: Solve for x
    x = 173,582,223,424/191,750
  6. Step 6: Final answer
    x = 905,252.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.