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Finding the Third Proportional to 140,391 and 300,078

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Solution

The third proportional to 140,391 and 300,078 is: 641,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,391 : 300,078 = 300,078 : x
  2. Step 2: Convert to fraction form
    140,391/300,078 = 300,078/x
  3. Step 3: Cross multiply
    140,391x = 300,078 × 300,078
  4. Step 4: Simplify right side
    140,391x = 90,046,806,084
  5. Step 5: Solve for x
    x = 90,046,806,084/140,391
  6. Step 6: Final answer
    x = 641,400.13

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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.