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Finding the Third Proportional to 80,508.94 and 182,503.13

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Solution

The third proportional to 80,508.94 and 182,503.13 is: 413,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,508.94 : 182,503.13 = 182,503.13 : x
  2. Step 2: Convert to fraction form
    80,508.94/182,503.13 = 182,503.13/x
  3. Step 3: Cross multiply
    80,508.94x = 182,503.13 × 182,503.13
  4. Step 4: Simplify right side
    80,508.94x = 33,307,390,634.77
  5. Step 5: Solve for x
    x = 33,307,390,634.77/80,508.94
  6. Step 6: Final answer
    x = 413,710.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.