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Finding the Third Proportional to 199,878.50 and 303,910.50

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Solution

The third proportional to 199,878.50 and 303,910.50 is: 462,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,878.50 : 303,910.50 = 303,910.50 : x
  2. Step 2: Convert to fraction form
    199,878.50/303,910.50 = 303,910.50/x
  3. Step 3: Cross multiply
    199,878.50x = 303,910.50 × 303,910.50
  4. Step 4: Simplify right side
    199,878.50x = 92,361,592,010.25
  5. Step 5: Solve for x
    x = 92,361,592,010.25/199,878.50
  6. Step 6: Final answer
    x = 462,088.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.