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Finding the Third Proportional to 198,376 and 468,209.50

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Solution

The third proportional to 198,376 and 468,209.50 is: 1,105,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,376 : 468,209.50 = 468,209.50 : x
  2. Step 2: Convert to fraction form
    198,376/468,209.50 = 468,209.50/x
  3. Step 3: Cross multiply
    198,376x = 468,209.50 × 468,209.50
  4. Step 4: Simplify right side
    198,376x = 219,220,135,890.25
  5. Step 5: Solve for x
    x = 219,220,135,890.25/198,376
  6. Step 6: Final answer
    x = 1,105,073.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.