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Finding the Third Proportional to 88,473 and 192,498

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Solution

The third proportional to 88,473 and 192,498 is: 418,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,473 : 192,498 = 192,498 : x
  2. Step 2: Convert to fraction form
    88,473/192,498 = 192,498/x
  3. Step 3: Cross multiply
    88,473x = 192,498 × 192,498
  4. Step 4: Simplify right side
    88,473x = 37,055,480,004
  5. Step 5: Solve for x
    x = 37,055,480,004/88,473
  6. Step 6: Final answer
    x = 418,833.77

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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.