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Finding the Third Proportional to 195,927 and 400,155

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Solution

The third proportional to 195,927 and 400,155 is: 817,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,927 : 400,155 = 400,155 : x
  2. Step 2: Convert to fraction form
    195,927/400,155 = 400,155/x
  3. Step 3: Cross multiply
    195,927x = 400,155 × 400,155
  4. Step 4: Simplify right side
    195,927x = 160,124,024,025
  5. Step 5: Solve for x
    x = 160,124,024,025/195,927
  6. Step 6: Final answer
    x = 817,263.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.