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Finding the Third Proportional to 87,348 and 190,684

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Solution

The third proportional to 87,348 and 190,684 is: 416,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,348 : 190,684 = 190,684 : x
  2. Step 2: Convert to fraction form
    87,348/190,684 = 190,684/x
  3. Step 3: Cross multiply
    87,348x = 190,684 × 190,684
  4. Step 4: Simplify right side
    87,348x = 36,360,387,856
  5. Step 5: Solve for x
    x = 36,360,387,856/87,348
  6. Step 6: Final answer
    x = 416,270.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.