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Finding the Third Proportional to 200,932 and 272,884

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Solution

The third proportional to 200,932 and 272,884 is: 370,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932 : 272,884 = 272,884 : x
  2. Step 2: Convert to fraction form
    200,932/272,884 = 272,884/x
  3. Step 3: Cross multiply
    200,932x = 272,884 × 272,884
  4. Step 4: Simplify right side
    200,932x = 74,465,677,456
  5. Step 5: Solve for x
    x = 74,465,677,456/200,932
  6. Step 6: Final answer
    x = 370,601.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.