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Finding the Third Proportional to 199,450.50 and 299,320.50

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Solution

The third proportional to 199,450.50 and 299,320.50 is: 449,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,450.50 : 299,320.50 = 299,320.50 : x
  2. Step 2: Convert to fraction form
    199,450.50/299,320.50 = 299,320.50/x
  3. Step 3: Cross multiply
    199,450.50x = 299,320.50 × 299,320.50
  4. Step 4: Simplify right side
    199,450.50x = 89,592,761,720.25
  5. Step 5: Solve for x
    x = 89,592,761,720.25/199,450.50
  6. Step 6: Final answer
    x = 449,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.