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Finding the Third Proportional to 233,559 and 332,838

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Solution

The third proportional to 233,559 and 332,838 is: 474,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,559 : 332,838 = 332,838 : x
  2. Step 2: Convert to fraction form
    233,559/332,838 = 332,838/x
  3. Step 3: Cross multiply
    233,559x = 332,838 × 332,838
  4. Step 4: Simplify right side
    233,559x = 110,781,134,244
  5. Step 5: Solve for x
    x = 110,781,134,244/233,559
  6. Step 6: Final answer
    x = 474,317.56

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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.