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Finding the Third Proportional to 161,449.50 and 221,627

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Solution

The third proportional to 161,449.50 and 221,627 is: 304,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,449.50 : 221,627 = 221,627 : x
  2. Step 2: Convert to fraction form
    161,449.50/221,627 = 221,627/x
  3. Step 3: Cross multiply
    161,449.50x = 221,627 × 221,627
  4. Step 4: Simplify right side
    161,449.50x = 49,118,527,129
  5. Step 5: Solve for x
    x = 49,118,527,129/161,449.50
  6. Step 6: Final answer
    x = 304,234.62

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Why These Related Problems?

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