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Finding the Third Proportional to 199,464.75 and 426,948

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Solution

The third proportional to 199,464.75 and 426,948 is: 913,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,464.75 : 426,948 = 426,948 : x
  2. Step 2: Convert to fraction form
    199,464.75/426,948 = 426,948/x
  3. Step 3: Cross multiply
    199,464.75x = 426,948 × 426,948
  4. Step 4: Simplify right side
    199,464.75x = 182,284,594,704
  5. Step 5: Solve for x
    x = 182,284,594,704/199,464.75
  6. Step 6: Final answer
    x = 913,868.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.