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Finding the Third Proportional to 235,195.50 and 309,051

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Solution

The third proportional to 235,195.50 and 309,051 is: 406,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,195.50 : 309,051 = 309,051 : x
  2. Step 2: Convert to fraction form
    235,195.50/309,051 = 309,051/x
  3. Step 3: Cross multiply
    235,195.50x = 309,051 × 309,051
  4. Step 4: Simplify right side
    235,195.50x = 95,512,520,601
  5. Step 5: Solve for x
    x = 95,512,520,601/235,195.50
  6. Step 6: Final answer
    x = 406,098.42

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.