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Finding the Third Proportional to 193,491 and 298,863

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Solution

The third proportional to 193,491 and 298,863 is: 461,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,491 : 298,863 = 298,863 : x
  2. Step 2: Convert to fraction form
    193,491/298,863 = 298,863/x
  3. Step 3: Cross multiply
    193,491x = 298,863 × 298,863
  4. Step 4: Simplify right side
    193,491x = 89,319,092,769
  5. Step 5: Solve for x
    x = 89,319,092,769/193,491
  6. Step 6: Final answer
    x = 461,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.