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Finding the Third Proportional to 83,472 and 180,048

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Solution

The third proportional to 83,472 and 180,048 is: 388,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,472 : 180,048 = 180,048 : x
  2. Step 2: Convert to fraction form
    83,472/180,048 = 180,048/x
  3. Step 3: Cross multiply
    83,472x = 180,048 × 180,048
  4. Step 4: Simplify right side
    83,472x = 32,417,282,304
  5. Step 5: Solve for x
    x = 32,417,282,304/83,472
  6. Step 6: Final answer
    x = 388,361.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.