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Finding the Third Proportional to 140,523.19 and 303,478.31

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Solution

The third proportional to 140,523.19 and 303,478.31 is: 655,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.19 : 303,478.31 = 303,478.31 : x
  2. Step 2: Convert to fraction form
    140,523.19/303,478.31 = 303,478.31/x
  3. Step 3: Cross multiply
    140,523.19x = 303,478.31 × 303,478.31
  4. Step 4: Simplify right side
    140,523.19x = 92,099,086,157.85
  5. Step 5: Solve for x
    x = 92,099,086,157.85/140,523.19
  6. Step 6: Final answer
    x = 655,401.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.