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Finding the Third Proportional to 88,396 and 192,344

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Solution

The third proportional to 88,396 and 192,344 is: 418,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,396 : 192,344 = 192,344 : x
  2. Step 2: Convert to fraction form
    88,396/192,344 = 192,344/x
  3. Step 3: Cross multiply
    88,396x = 192,344 × 192,344
  4. Step 4: Simplify right side
    88,396x = 36,996,214,336
  5. Step 5: Solve for x
    x = 36,996,214,336/88,396
  6. Step 6: Final answer
    x = 418,528.15

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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.