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Finding the Third Proportional to 132,808 and 283,184

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Solution

The third proportional to 132,808 and 283,184 is: 603,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,808 : 283,184 = 283,184 : x
  2. Step 2: Convert to fraction form
    132,808/283,184 = 283,184/x
  3. Step 3: Cross multiply
    132,808x = 283,184 × 283,184
  4. Step 4: Simplify right side
    132,808x = 80,193,177,856
  5. Step 5: Solve for x
    x = 80,193,177,856/132,808
  6. Step 6: Final answer
    x = 603,827.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.