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Finding the Third Proportional to 140,382 and 300,861

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Solution

The third proportional to 140,382 and 300,861 is: 644,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,382 : 300,861 = 300,861 : x
  2. Step 2: Convert to fraction form
    140,382/300,861 = 300,861/x
  3. Step 3: Cross multiply
    140,382x = 300,861 × 300,861
  4. Step 4: Simplify right side
    140,382x = 90,517,341,321
  5. Step 5: Solve for x
    x = 90,517,341,321/140,382
  6. Step 6: Final answer
    x = 644,793.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.