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Finding the Third Proportional to 244,188 and 381,908.25

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Solution

The third proportional to 244,188 and 381,908.25 is: 597,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,188 : 381,908.25 = 381,908.25 : x
  2. Step 2: Convert to fraction form
    244,188/381,908.25 = 381,908.25/x
  3. Step 3: Cross multiply
    244,188x = 381,908.25 × 381,908.25
  4. Step 4: Simplify right side
    244,188x = 145,853,911,418.06
  5. Step 5: Solve for x
    x = 145,853,911,418.06/244,188
  6. Step 6: Final answer
    x = 597,301.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.