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Finding the Third Proportional to 69,333 and 161,764.50

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Solution

The third proportional to 69,333 and 161,764.50 is: 377,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,333 : 161,764.50 = 161,764.50 : x
  2. Step 2: Convert to fraction form
    69,333/161,764.50 = 161,764.50/x
  3. Step 3: Cross multiply
    69,333x = 161,764.50 × 161,764.50
  4. Step 4: Simplify right side
    69,333x = 26,167,753,460.25
  5. Step 5: Solve for x
    x = 26,167,753,460.25/69,333
  6. Step 6: Final answer
    x = 377,421.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.