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Finding the Third Proportional to 180,182 and 282,651

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Solution

The third proportional to 180,182 and 282,651 is: 443,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,182 : 282,651 = 282,651 : x
  2. Step 2: Convert to fraction form
    180,182/282,651 = 282,651/x
  3. Step 3: Cross multiply
    180,182x = 282,651 × 282,651
  4. Step 4: Simplify right side
    180,182x = 79,891,587,801
  5. Step 5: Solve for x
    x = 79,891,587,801/180,182
  6. Step 6: Final answer
    x = 443,393.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.