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Finding the Third Proportional to 167,041.50 and 364,233

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Solution

The third proportional to 167,041.50 and 364,233 is: 794,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,041.50 : 364,233 = 364,233 : x
  2. Step 2: Convert to fraction form
    167,041.50/364,233 = 364,233/x
  3. Step 3: Cross multiply
    167,041.50x = 364,233 × 364,233
  4. Step 4: Simplify right side
    167,041.50x = 132,665,678,289
  5. Step 5: Solve for x
    x = 132,665,678,289/167,041.50
  6. Step 6: Final answer
    x = 794,207.90

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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.