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Finding the Third Proportional to 200,854 and 266,562

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Solution

The third proportional to 200,854 and 266,562 is: 353,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,854 : 266,562 = 266,562 : x
  2. Step 2: Convert to fraction form
    200,854/266,562 = 266,562/x
  3. Step 3: Cross multiply
    200,854x = 266,562 × 266,562
  4. Step 4: Simplify right side
    200,854x = 71,055,299,844
  5. Step 5: Solve for x
    x = 71,055,299,844/200,854
  6. Step 6: Final answer
    x = 353,765.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.