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Finding the Third Proportional to 182,826 and 282,531

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Solution

The third proportional to 182,826 and 282,531 is: 436,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,826 : 282,531 = 282,531 : x
  2. Step 2: Convert to fraction form
    182,826/282,531 = 282,531/x
  3. Step 3: Cross multiply
    182,826x = 282,531 × 282,531
  4. Step 4: Simplify right side
    182,826x = 79,823,765,961
  5. Step 5: Solve for x
    x = 79,823,765,961/182,826
  6. Step 6: Final answer
    x = 436,610.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.