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Finding the Third Proportional to 200,751.75 and 275,275.13

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Solution

The third proportional to 200,751.75 and 275,275.13 is: 377,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,751.75 : 275,275.13 = 275,275.13 : x
  2. Step 2: Convert to fraction form
    200,751.75/275,275.13 = 275,275.13/x
  3. Step 3: Cross multiply
    200,751.75x = 275,275.13 × 275,275.13
  4. Step 4: Simplify right side
    200,751.75x = 75,776,394,443.77
  5. Step 5: Solve for x
    x = 75,776,394,443.77/200,751.75
  6. Step 6: Final answer
    x = 377,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.