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Finding the Third Proportional to 199,569 and 299,344.50

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Solution

The third proportional to 199,569 and 299,344.50 is: 449,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 299,344.50 = 299,344.50 : x
  2. Step 2: Convert to fraction form
    199,569/299,344.50 = 299,344.50/x
  3. Step 3: Cross multiply
    199,569x = 299,344.50 × 299,344.50
  4. Step 4: Simplify right side
    199,569x = 89,607,129,680.25
  5. Step 5: Solve for x
    x = 89,607,129,680.25/199,569
  6. Step 6: Final answer
    x = 449,003.25

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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.