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Finding the Third Proportional to 151,767.75 and 330,309.38

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Solution

The third proportional to 151,767.75 and 330,309.38 is: 718,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,767.75 : 330,309.38 = 330,309.38 : x
  2. Step 2: Convert to fraction form
    151,767.75/330,309.38 = 330,309.38/x
  3. Step 3: Cross multiply
    151,767.75x = 330,309.38 × 330,309.38
  4. Step 4: Simplify right side
    151,767.75x = 109,104,283,212.89
  5. Step 5: Solve for x
    x = 109,104,283,212.89/151,767.75
  6. Step 6: Final answer
    x = 718,889.77

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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.