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Finding the Third Proportional to 233,550 and 332,825

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Solution

The third proportional to 233,550 and 332,825 is: 474,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,550 : 332,825 = 332,825 : x
  2. Step 2: Convert to fraction form
    233,550/332,825 = 332,825/x
  3. Step 3: Cross multiply
    233,550x = 332,825 × 332,825
  4. Step 4: Simplify right side
    233,550x = 110,772,480,625
  5. Step 5: Solve for x
    x = 110,772,480,625/233,550
  6. Step 6: Final answer
    x = 474,298.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.