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Finding the Third Proportional to 195,963.38 and 286,382.44

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Solution

The third proportional to 195,963.38 and 286,382.44 is: 418,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,963.38 : 286,382.44 = 286,382.44 : x
  2. Step 2: Convert to fraction form
    195,963.38/286,382.44 = 286,382.44/x
  3. Step 3: Cross multiply
    195,963.38x = 286,382.44 × 286,382.44
  4. Step 4: Simplify right side
    195,963.38x = 82,014,900,508.44
  5. Step 5: Solve for x
    x = 82,014,900,508.44/195,963.38
  6. Step 6: Final answer
    x = 418,521.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.