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Finding the Third Proportional to 161,451.50 and 221,630

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Solution

The third proportional to 161,451.50 and 221,630 is: 304,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,451.50 : 221,630 = 221,630 : x
  2. Step 2: Convert to fraction form
    161,451.50/221,630 = 221,630/x
  3. Step 3: Cross multiply
    161,451.50x = 221,630 × 221,630
  4. Step 4: Simplify right side
    161,451.50x = 49,119,856,900
  5. Step 5: Solve for x
    x = 49,119,856,900/161,451.50
  6. Step 6: Final answer
    x = 304,239.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.