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Finding the Third Proportional to 173,025 and 232,806

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Solution

The third proportional to 173,025 and 232,806 is: 313,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,025 : 232,806 = 232,806 : x
  2. Step 2: Convert to fraction form
    173,025/232,806 = 232,806/x
  3. Step 3: Cross multiply
    173,025x = 232,806 × 232,806
  4. Step 4: Simplify right side
    173,025x = 54,198,633,636
  5. Step 5: Solve for x
    x = 54,198,633,636/173,025
  6. Step 6: Final answer
    x = 313,241.63

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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.