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Finding the Third Proportional to 191,720 and 416,902

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Solution

The third proportional to 191,720 and 416,902 is: 906,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720 : 416,902 = 416,902 : x
  2. Step 2: Convert to fraction form
    191,720/416,902 = 416,902/x
  3. Step 3: Cross multiply
    191,720x = 416,902 × 416,902
  4. Step 4: Simplify right side
    191,720x = 173,807,277,604
  5. Step 5: Solve for x
    x = 173,807,277,604/191,720
  6. Step 6: Final answer
    x = 906,568.32

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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.