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Finding the Third Proportional to 151,680.75 and 330,507

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Solution

The third proportional to 151,680.75 and 330,507 is: 720,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,680.75 : 330,507 = 330,507 : x
  2. Step 2: Convert to fraction form
    151,680.75/330,507 = 330,507/x
  3. Step 3: Cross multiply
    151,680.75x = 330,507 × 330,507
  4. Step 4: Simplify right side
    151,680.75x = 109,234,877,049
  5. Step 5: Solve for x
    x = 109,234,877,049/151,680.75
  6. Step 6: Final answer
    x = 720,163.09

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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.