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Finding the Third Proportional to 195,740 and 417,117

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Solution

The third proportional to 195,740 and 417,117 is: 888,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,740 : 417,117 = 417,117 : x
  2. Step 2: Convert to fraction form
    195,740/417,117 = 417,117/x
  3. Step 3: Cross multiply
    195,740x = 417,117 × 417,117
  4. Step 4: Simplify right side
    195,740x = 173,986,591,689
  5. Step 5: Solve for x
    x = 173,986,591,689/195,740
  6. Step 6: Final answer
    x = 888,865.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.