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Finding the Third Proportional to 150,834.66 and 222,732.28

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Solution

The third proportional to 150,834.66 and 222,732.28 is: 328,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,834.66 : 222,732.28 = 222,732.28 : x
  2. Step 2: Convert to fraction form
    150,834.66/222,732.28 = 222,732.28/x
  3. Step 3: Cross multiply
    150,834.66x = 222,732.28 × 222,732.28
  4. Step 4: Simplify right side
    150,834.66x = 49,609,669,110.83
  5. Step 5: Solve for x
    x = 49,609,669,110.83/150,834.66
  6. Step 6: Final answer
    x = 328,901.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.