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Finding the Third Proportional to 200,919 and 272,871

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Solution

The third proportional to 200,919 and 272,871 is: 370,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919 : 272,871 = 272,871 : x
  2. Step 2: Convert to fraction form
    200,919/272,871 = 272,871/x
  3. Step 3: Cross multiply
    200,919x = 272,871 × 272,871
  4. Step 4: Simplify right side
    200,919x = 74,458,582,641
  5. Step 5: Solve for x
    x = 74,458,582,641/200,919
  6. Step 6: Final answer
    x = 370,590.05

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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.