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Finding the Third Proportional to 152,003.25 and 330,756.75

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Solution

The third proportional to 152,003.25 and 330,756.75 is: 719,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,003.25 : 330,756.75 = 330,756.75 : x
  2. Step 2: Convert to fraction form
    152,003.25/330,756.75 = 330,756.75/x
  3. Step 3: Cross multiply
    152,003.25x = 330,756.75 × 330,756.75
  4. Step 4: Simplify right side
    152,003.25x = 109,400,027,670.56
  5. Step 5: Solve for x
    x = 109,400,027,670.56/152,003.25
  6. Step 6: Final answer
    x = 719,721.64

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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.