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Finding the Third Proportional to 200,512.50 and 282,117

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Solution

The third proportional to 200,512.50 and 282,117 is: 396,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.50 : 282,117 = 282,117 : x
  2. Step 2: Convert to fraction form
    200,512.50/282,117 = 282,117/x
  3. Step 3: Cross multiply
    200,512.50x = 282,117 × 282,117
  4. Step 4: Simplify right side
    200,512.50x = 79,590,001,689
  5. Step 5: Solve for x
    x = 79,590,001,689/200,512.50
  6. Step 6: Final answer
    x = 396,932.87

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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.