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Finding the Third Proportional to 200,924 and 272,883

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Solution

The third proportional to 200,924 and 272,883 is: 370,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,924 : 272,883 = 272,883 : x
  2. Step 2: Convert to fraction form
    200,924/272,883 = 272,883/x
  3. Step 3: Cross multiply
    200,924x = 272,883 × 272,883
  4. Step 4: Simplify right side
    200,924x = 74,465,131,689
  5. Step 5: Solve for x
    x = 74,465,131,689/200,924
  6. Step 6: Final answer
    x = 370,613.42

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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.