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Finding the Third Proportional to 120,595.50 and 244,471.50

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Solution

The third proportional to 120,595.50 and 244,471.50 is: 495,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,595.50 : 244,471.50 = 244,471.50 : x
  2. Step 2: Convert to fraction form
    120,595.50/244,471.50 = 244,471.50/x
  3. Step 3: Cross multiply
    120,595.50x = 244,471.50 × 244,471.50
  4. Step 4: Simplify right side
    120,595.50x = 59,766,314,312.25
  5. Step 5: Solve for x
    x = 59,766,314,312.25/120,595.50
  6. Step 6: Final answer
    x = 495,593.24

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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.