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Finding the Third Proportional to 88,454 and 192,298

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Solution

The third proportional to 88,454 and 192,298 is: 418,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,454 : 192,298 = 192,298 : x
  2. Step 2: Convert to fraction form
    88,454/192,298 = 192,298/x
  3. Step 3: Cross multiply
    88,454x = 192,298 × 192,298
  4. Step 4: Simplify right side
    88,454x = 36,978,520,804
  5. Step 5: Solve for x
    x = 36,978,520,804/88,454
  6. Step 6: Final answer
    x = 418,053.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.