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Finding the Third Proportional to 204,012 and 315,117

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Solution

The third proportional to 204,012 and 315,117 is: 486,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,012 : 315,117 = 315,117 : x
  2. Step 2: Convert to fraction form
    204,012/315,117 = 315,117/x
  3. Step 3: Cross multiply
    204,012x = 315,117 × 315,117
  4. Step 4: Simplify right side
    204,012x = 99,298,723,689
  5. Step 5: Solve for x
    x = 99,298,723,689/204,012
  6. Step 6: Final answer
    x = 486,729.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.