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Finding the Third Proportional to 193,937 and 411,350

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Solution

The third proportional to 193,937 and 411,350 is: 872,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,937 : 411,350 = 411,350 : x
  2. Step 2: Convert to fraction form
    193,937/411,350 = 411,350/x
  3. Step 3: Cross multiply
    193,937x = 411,350 × 411,350
  4. Step 4: Simplify right side
    193,937x = 169,208,822,500
  5. Step 5: Solve for x
    x = 169,208,822,500/193,937
  6. Step 6: Final answer
    x = 872,493.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.