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Finding the Third Proportional to 83,934.75 and 180,292.88

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Solution

The third proportional to 83,934.75 and 180,292.88 is: 387,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,934.75 : 180,292.88 = 180,292.88 : x
  2. Step 2: Convert to fraction form
    83,934.75/180,292.88 = 180,292.88/x
  3. Step 3: Cross multiply
    83,934.75x = 180,292.88 × 180,292.88
  4. Step 4: Simplify right side
    83,934.75x = 32,505,520,775.77
  5. Step 5: Solve for x
    x = 32,505,520,775.77/83,934.75
  6. Step 6: Final answer
    x = 387,271.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.