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Finding the Third Proportional to 244,908.56 and 378,285.19

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Solution

The third proportional to 244,908.56 and 378,285.19 is: 584,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,908.56 : 378,285.19 = 378,285.19 : x
  2. Step 2: Convert to fraction form
    244,908.56/378,285.19 = 378,285.19/x
  3. Step 3: Cross multiply
    244,908.56x = 378,285.19 × 378,285.19
  4. Step 4: Simplify right side
    244,908.56x = 143,099,683,081.91
  5. Step 5: Solve for x
    x = 143,099,683,081.91/244,908.56
  6. Step 6: Final answer
    x = 584,298.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.