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Finding the Third Proportional to 167,305.50 and 367,780.50

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Solution

The third proportional to 167,305.50 and 367,780.50 is: 808,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,305.50 : 367,780.50 = 367,780.50 : x
  2. Step 2: Convert to fraction form
    167,305.50/367,780.50 = 367,780.50/x
  3. Step 3: Cross multiply
    167,305.50x = 367,780.50 × 367,780.50
  4. Step 4: Simplify right side
    167,305.50x = 135,262,496,180.25
  5. Step 5: Solve for x
    x = 135,262,496,180.25/167,305.50
  6. Step 6: Final answer
    x = 808,476.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.