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Finding the Third Proportional to 155,963.50 and 222,863

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Solution

The third proportional to 155,963.50 and 222,863 is: 318,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,963.50 : 222,863 = 222,863 : x
  2. Step 2: Convert to fraction form
    155,963.50/222,863 = 222,863/x
  3. Step 3: Cross multiply
    155,963.50x = 222,863 × 222,863
  4. Step 4: Simplify right side
    155,963.50x = 49,667,916,769
  5. Step 5: Solve for x
    x = 49,667,916,769/155,963.50
  6. Step 6: Final answer
    x = 318,458.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.