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Finding the Third Proportional to 191,715 and 416,550

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Solution

The third proportional to 191,715 and 416,550 is: 905,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,715 : 416,550 = 416,550 : x
  2. Step 2: Convert to fraction form
    191,715/416,550 = 416,550/x
  3. Step 3: Cross multiply
    191,715x = 416,550 × 416,550
  4. Step 4: Simplify right side
    191,715x = 173,513,902,500
  5. Step 5: Solve for x
    x = 173,513,902,500/191,715
  6. Step 6: Final answer
    x = 905,061.69

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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.