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Finding the Third Proportional to 185,382 and 383,895

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Solution

The third proportional to 185,382 and 383,895 is: 794,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,382 : 383,895 = 383,895 : x
  2. Step 2: Convert to fraction form
    185,382/383,895 = 383,895/x
  3. Step 3: Cross multiply
    185,382x = 383,895 × 383,895
  4. Step 4: Simplify right side
    185,382x = 147,375,371,025
  5. Step 5: Solve for x
    x = 147,375,371,025/185,382
  6. Step 6: Final answer
    x = 794,982.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.