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Finding the Third Proportional to 82,596 and 180,363

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Solution

The third proportional to 82,596 and 180,363 is: 393,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596 : 180,363 = 180,363 : x
  2. Step 2: Convert to fraction form
    82,596/180,363 = 180,363/x
  3. Step 3: Cross multiply
    82,596x = 180,363 × 180,363
  4. Step 4: Simplify right side
    82,596x = 32,530,811,769
  5. Step 5: Solve for x
    x = 32,530,811,769/82,596
  6. Step 6: Final answer
    x = 393,854.57

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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.