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Finding the Third Proportional to 199,854 and 299,166.75

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Solution

The third proportional to 199,854 and 299,166.75 is: 447,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854 : 299,166.75 = 299,166.75 : x
  2. Step 2: Convert to fraction form
    199,854/299,166.75 = 299,166.75/x
  3. Step 3: Cross multiply
    199,854x = 299,166.75 × 299,166.75
  4. Step 4: Simplify right side
    199,854x = 89,500,744,305.56
  5. Step 5: Solve for x
    x = 89,500,744,305.56/199,854
  6. Step 6: Final answer
    x = 447,830.64

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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.