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Finding the Third Proportional to 195,916.22 and 400,134.94

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Solution

The third proportional to 195,916.22 and 400,134.94 is: 817,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,916.22 : 400,134.94 = 400,134.94 : x
  2. Step 2: Convert to fraction form
    195,916.22/400,134.94 = 400,134.94/x
  3. Step 3: Cross multiply
    195,916.22x = 400,134.94 × 400,134.94
  4. Step 4: Simplify right side
    195,916.22x = 160,107,968,208.13
  5. Step 5: Solve for x
    x = 160,107,968,208.13/195,916.22
  6. Step 6: Final answer
    x = 817,226.72

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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.