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Finding the Third Proportional to 233,767 and 330,778.50

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Solution

The third proportional to 233,767 and 330,778.50 is: 468,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,767 : 330,778.50 = 330,778.50 : x
  2. Step 2: Convert to fraction form
    233,767/330,778.50 = 330,778.50/x
  3. Step 3: Cross multiply
    233,767x = 330,778.50 × 330,778.50
  4. Step 4: Simplify right side
    233,767x = 109,414,416,062.25
  5. Step 5: Solve for x
    x = 109,414,416,062.25/233,767
  6. Step 6: Final answer
    x = 468,049.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.