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Finding the Third Proportional to 154,360 and 327,668

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Solution

The third proportional to 154,360 and 327,668 is: 695,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,360 : 327,668 = 327,668 : x
  2. Step 2: Convert to fraction form
    154,360/327,668 = 327,668/x
  3. Step 3: Cross multiply
    154,360x = 327,668 × 327,668
  4. Step 4: Simplify right side
    154,360x = 107,366,318,224
  5. Step 5: Solve for x
    x = 107,366,318,224/154,360
  6. Step 6: Final answer
    x = 695,557.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.