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Finding the Third Proportional to 231,073.50 and 309,078

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Solution

The third proportional to 231,073.50 and 309,078 is: 413,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,073.50 : 309,078 = 309,078 : x
  2. Step 2: Convert to fraction form
    231,073.50/309,078 = 309,078/x
  3. Step 3: Cross multiply
    231,073.50x = 309,078 × 309,078
  4. Step 4: Simplify right side
    231,073.50x = 95,529,210,084
  5. Step 5: Solve for x
    x = 95,529,210,084/231,073.50
  6. Step 6: Final answer
    x = 413,414.82

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