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Finding the Third Proportional to 204,037 and 286,818

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Solution

The third proportional to 204,037 and 286,818 is: 403,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037 : 286,818 = 286,818 : x
  2. Step 2: Convert to fraction form
    204,037/286,818 = 286,818/x
  3. Step 3: Cross multiply
    204,037x = 286,818 × 286,818
  4. Step 4: Simplify right side
    204,037x = 82,264,565,124
  5. Step 5: Solve for x
    x = 82,264,565,124/204,037
  6. Step 6: Final answer
    x = 403,184.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.