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Finding the Third Proportional to 88,304 and 192,472

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Solution

The third proportional to 88,304 and 192,472 is: 419,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,304 : 192,472 = 192,472 : x
  2. Step 2: Convert to fraction form
    88,304/192,472 = 192,472/x
  3. Step 3: Cross multiply
    88,304x = 192,472 × 192,472
  4. Step 4: Simplify right side
    88,304x = 37,045,470,784
  5. Step 5: Solve for x
    x = 37,045,470,784/88,304
  6. Step 6: Final answer
    x = 419,522.00

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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.