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Finding the Third Proportional to 94,384 and 207,418

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Solution

The third proportional to 94,384 and 207,418 is: 455,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,384 : 207,418 = 207,418 : x
  2. Step 2: Convert to fraction form
    94,384/207,418 = 207,418/x
  3. Step 3: Cross multiply
    94,384x = 207,418 × 207,418
  4. Step 4: Simplify right side
    94,384x = 43,022,226,724
  5. Step 5: Solve for x
    x = 43,022,226,724/94,384
  6. Step 6: Final answer
    x = 455,821.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.