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Finding the Third Proportional to 140,448 and 300,578

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Solution

The third proportional to 140,448 and 300,578 is: 643,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448 : 300,578 = 300,578 : x
  2. Step 2: Convert to fraction form
    140,448/300,578 = 300,578/x
  3. Step 3: Cross multiply
    140,448x = 300,578 × 300,578
  4. Step 4: Simplify right side
    140,448x = 90,347,134,084
  5. Step 5: Solve for x
    x = 90,347,134,084/140,448
  6. Step 6: Final answer
    x = 643,278.18

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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.