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Finding the Third Proportional to 161,900 and 241,185

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Solution

The third proportional to 161,900 and 241,185 is: 359,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,900 : 241,185 = 241,185 : x
  2. Step 2: Convert to fraction form
    161,900/241,185 = 241,185/x
  3. Step 3: Cross multiply
    161,900x = 241,185 × 241,185
  4. Step 4: Simplify right side
    161,900x = 58,170,204,225
  5. Step 5: Solve for x
    x = 58,170,204,225/161,900
  6. Step 6: Final answer
    x = 359,297.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.