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Finding the Third Proportional to 235,469 and 335,443

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Solution

The third proportional to 235,469 and 335,443 is: 477,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 335,443 = 335,443 : x
  2. Step 2: Convert to fraction form
    235,469/335,443 = 335,443/x
  3. Step 3: Cross multiply
    235,469x = 335,443 × 335,443
  4. Step 4: Simplify right side
    235,469x = 112,522,006,249
  5. Step 5: Solve for x
    x = 112,522,006,249/235,469
  6. Step 6: Final answer
    x = 477,863.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.