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Finding the Third Proportional to 200,958 and 272,927

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Solution

The third proportional to 200,958 and 272,927 is: 370,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,958 : 272,927 = 272,927 : x
  2. Step 2: Convert to fraction form
    200,958/272,927 = 272,927/x
  3. Step 3: Cross multiply
    200,958x = 272,927 × 272,927
  4. Step 4: Simplify right side
    200,958x = 74,489,147,329
  5. Step 5: Solve for x
    x = 74,489,147,329/200,958
  6. Step 6: Final answer
    x = 370,670.23

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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.