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Finding the Third Proportional to 171,948 and 265,698

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Solution

The third proportional to 171,948 and 265,698 is: 410,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,948 : 265,698 = 265,698 : x
  2. Step 2: Convert to fraction form
    171,948/265,698 = 265,698/x
  3. Step 3: Cross multiply
    171,948x = 265,698 × 265,698
  4. Step 4: Simplify right side
    171,948x = 70,595,427,204
  5. Step 5: Solve for x
    x = 70,595,427,204/171,948
  6. Step 6: Final answer
    x = 410,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.