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Finding the Third Proportional to 233,262 and 330,342.75

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Solution

The third proportional to 233,262 and 330,342.75 is: 467,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,262 : 330,342.75 = 330,342.75 : x
  2. Step 2: Convert to fraction form
    233,262/330,342.75 = 330,342.75/x
  3. Step 3: Cross multiply
    233,262x = 330,342.75 × 330,342.75
  4. Step 4: Simplify right side
    233,262x = 109,126,332,477.56
  5. Step 5: Solve for x
    x = 109,126,332,477.56/233,262
  6. Step 6: Final answer
    x = 467,827.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.