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Finding the Third Proportional to 83,307 and 181,404

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Solution

The third proportional to 83,307 and 181,404 is: 395,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,307 : 181,404 = 181,404 : x
  2. Step 2: Convert to fraction form
    83,307/181,404 = 181,404/x
  3. Step 3: Cross multiply
    83,307x = 181,404 × 181,404
  4. Step 4: Simplify right side
    83,307x = 32,907,411,216
  5. Step 5: Solve for x
    x = 32,907,411,216/83,307
  6. Step 6: Final answer
    x = 395,013.76

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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.