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Finding the Third Proportional to 200,902 and 272,850

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Solution

The third proportional to 200,902 and 272,850 is: 370,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902 : 272,850 = 272,850 : x
  2. Step 2: Convert to fraction form
    200,902/272,850 = 272,850/x
  3. Step 3: Cross multiply
    200,902x = 272,850 × 272,850
  4. Step 4: Simplify right side
    200,902x = 74,447,122,500
  5. Step 5: Solve for x
    x = 74,447,122,500/200,902
  6. Step 6: Final answer
    x = 370,564.37

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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.