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Finding the Third Proportional to 202,911 and 272,199

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Solution

The third proportional to 202,911 and 272,199 is: 365,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,911 : 272,199 = 272,199 : x
  2. Step 2: Convert to fraction form
    202,911/272,199 = 272,199/x
  3. Step 3: Cross multiply
    202,911x = 272,199 × 272,199
  4. Step 4: Simplify right side
    202,911x = 74,092,295,601
  5. Step 5: Solve for x
    x = 74,092,295,601/202,911
  6. Step 6: Final answer
    x = 365,146.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.