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Finding the Third Proportional to 109,431 and 235,593

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Solution

The third proportional to 109,431 and 235,593 is: 507,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,431 : 235,593 = 235,593 : x
  2. Step 2: Convert to fraction form
    109,431/235,593 = 235,593/x
  3. Step 3: Cross multiply
    109,431x = 235,593 × 235,593
  4. Step 4: Simplify right side
    109,431x = 55,504,061,649
  5. Step 5: Solve for x
    x = 55,504,061,649/109,431
  6. Step 6: Final answer
    x = 507,206.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.