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Finding the Third Proportional to 80,352 and 175,512

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Solution

The third proportional to 80,352 and 175,512 is: 383,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 175,512 = 175,512 : x
  2. Step 2: Convert to fraction form
    80,352/175,512 = 175,512/x
  3. Step 3: Cross multiply
    80,352x = 175,512 × 175,512
  4. Step 4: Simplify right side
    80,352x = 30,804,462,144
  5. Step 5: Solve for x
    x = 30,804,462,144/80,352
  6. Step 6: Final answer
    x = 383,368.95

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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.