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Finding the Third Proportional to 232,413 and 313,635

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Solution

The third proportional to 232,413 and 313,635 is: 423,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,413 : 313,635 = 313,635 : x
  2. Step 2: Convert to fraction form
    232,413/313,635 = 313,635/x
  3. Step 3: Cross multiply
    232,413x = 313,635 × 313,635
  4. Step 4: Simplify right side
    232,413x = 98,366,913,225
  5. Step 5: Solve for x
    x = 98,366,913,225/232,413
  6. Step 6: Final answer
    x = 423,241.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.