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Finding the Third Proportional to 151,704 and 330,150

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Solution

The third proportional to 151,704 and 330,150 is: 718,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,704 : 330,150 = 330,150 : x
  2. Step 2: Convert to fraction form
    151,704/330,150 = 330,150/x
  3. Step 3: Cross multiply
    151,704x = 330,150 × 330,150
  4. Step 4: Simplify right side
    151,704x = 108,999,022,500
  5. Step 5: Solve for x
    x = 108,999,022,500/151,704
  6. Step 6: Final answer
    x = 718,498.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.