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Finding the Third Proportional to 200,958 and 272,931

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Solution

The third proportional to 200,958 and 272,931 is: 370,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,958 : 272,931 = 272,931 : x
  2. Step 2: Convert to fraction form
    200,958/272,931 = 272,931/x
  3. Step 3: Cross multiply
    200,958x = 272,931 × 272,931
  4. Step 4: Simplify right side
    200,958x = 74,491,330,761
  5. Step 5: Solve for x
    x = 74,491,330,761/200,958
  6. Step 6: Final answer
    x = 370,681.09

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