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Finding the Third Proportional to 161,826.75 and 330,079.50

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Solution

The third proportional to 161,826.75 and 330,079.50 is: 673,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,826.75 : 330,079.50 = 330,079.50 : x
  2. Step 2: Convert to fraction form
    161,826.75/330,079.50 = 330,079.50/x
  3. Step 3: Cross multiply
    161,826.75x = 330,079.50 × 330,079.50
  4. Step 4: Simplify right side
    161,826.75x = 108,952,476,320.25
  5. Step 5: Solve for x
    x = 108,952,476,320.25/161,826.75
  6. Step 6: Final answer
    x = 673,266.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.