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Finding the Third Proportional to 80,853.19 and 175,840.88

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Solution

The third proportional to 80,853.19 and 175,840.88 is: 382,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,853.19 : 175,840.88 = 175,840.88 : x
  2. Step 2: Convert to fraction form
    80,853.19/175,840.88 = 175,840.88/x
  3. Step 3: Cross multiply
    80,853.19x = 175,840.88 × 175,840.88
  4. Step 4: Simplify right side
    80,853.19x = 30,920,013,320.77
  5. Step 5: Solve for x
    x = 30,920,013,320.77/80,853.19
  6. Step 6: Final answer
    x = 382,421.70

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Why These Related Problems?

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