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Finding the Third Proportional to 146,513 and 300,793

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Solution

The third proportional to 146,513 and 300,793 is: 617,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,513 : 300,793 = 300,793 : x
  2. Step 2: Convert to fraction form
    146,513/300,793 = 300,793/x
  3. Step 3: Cross multiply
    146,513x = 300,793 × 300,793
  4. Step 4: Simplify right side
    146,513x = 90,476,428,849
  5. Step 5: Solve for x
    x = 90,476,428,849/146,513
  6. Step 6: Final answer
    x = 617,531.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.