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Finding the Third Proportional to 232,200 and 354,951

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Solution

The third proportional to 232,200 and 354,951 is: 542,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,200 : 354,951 = 354,951 : x
  2. Step 2: Convert to fraction form
    232,200/354,951 = 354,951/x
  3. Step 3: Cross multiply
    232,200x = 354,951 × 354,951
  4. Step 4: Simplify right side
    232,200x = 125,990,212,401
  5. Step 5: Solve for x
    x = 125,990,212,401/232,200
  6. Step 6: Final answer
    x = 542,593.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.