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Finding the Third Proportional to 228,947.50 and 336,561

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Solution

The third proportional to 228,947.50 and 336,561 is: 494,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,947.50 : 336,561 = 336,561 : x
  2. Step 2: Convert to fraction form
    228,947.50/336,561 = 336,561/x
  3. Step 3: Cross multiply
    228,947.50x = 336,561 × 336,561
  4. Step 4: Simplify right side
    228,947.50x = 113,273,306,721
  5. Step 5: Solve for x
    x = 113,273,306,721/228,947.50
  6. Step 6: Final answer
    x = 494,756.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.