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Finding the Third Proportional to 120,573 and 244,431

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Solution

The third proportional to 120,573 and 244,431 is: 495,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,573 : 244,431 = 244,431 : x
  2. Step 2: Convert to fraction form
    120,573/244,431 = 244,431/x
  3. Step 3: Cross multiply
    120,573x = 244,431 × 244,431
  4. Step 4: Simplify right side
    120,573x = 59,746,513,761
  5. Step 5: Solve for x
    x = 59,746,513,761/120,573
  6. Step 6: Final answer
    x = 495,521.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.