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Finding the Third Proportional to 152,229 and 231,934.50

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Solution

The third proportional to 152,229 and 231,934.50 is: 353,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229 : 231,934.50 = 231,934.50 : x
  2. Step 2: Convert to fraction form
    152,229/231,934.50 = 231,934.50/x
  3. Step 3: Cross multiply
    152,229x = 231,934.50 × 231,934.50
  4. Step 4: Simplify right side
    152,229x = 53,793,612,290.25
  5. Step 5: Solve for x
    x = 53,793,612,290.25/152,229
  6. Step 6: Final answer
    x = 353,372.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.