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Finding the Third Proportional to 151,471 and 235,199

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Solution

The third proportional to 151,471 and 235,199 is: 365,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471 : 235,199 = 235,199 : x
  2. Step 2: Convert to fraction form
    151,471/235,199 = 235,199/x
  3. Step 3: Cross multiply
    151,471x = 235,199 × 235,199
  4. Step 4: Simplify right side
    151,471x = 55,318,569,601
  5. Step 5: Solve for x
    x = 55,318,569,601/151,471
  6. Step 6: Final answer
    x = 365,208.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.