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Finding the Third Proportional to 191,233.13 and 281,283.75

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Solution

The third proportional to 191,233.13 and 281,283.75 is: 413,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,233.13 : 281,283.75 = 281,283.75 : x
  2. Step 2: Convert to fraction form
    191,233.13/281,283.75 = 281,283.75/x
  3. Step 3: Cross multiply
    191,233.13x = 281,283.75 × 281,283.75
  4. Step 4: Simplify right side
    191,233.13x = 79,120,548,014.06
  5. Step 5: Solve for x
    x = 79,120,548,014.06/191,233.13
  6. Step 6: Final answer
    x = 413,738.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.