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Finding the Third Proportional to 195,742 and 417,122

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Solution

The third proportional to 195,742 and 417,122 is: 888,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,742 : 417,122 = 417,122 : x
  2. Step 2: Convert to fraction form
    195,742/417,122 = 417,122/x
  3. Step 3: Cross multiply
    195,742x = 417,122 × 417,122
  4. Step 4: Simplify right side
    195,742x = 173,990,762,884
  5. Step 5: Solve for x
    x = 173,990,762,884/195,742
  6. Step 6: Final answer
    x = 888,878.03

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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.