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Finding the Third Proportional to 100,395 and 161,446.50

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Solution

The third proportional to 100,395 and 161,446.50 is: 259,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,395 : 161,446.50 = 161,446.50 : x
  2. Step 2: Convert to fraction form
    100,395/161,446.50 = 161,446.50/x
  3. Step 3: Cross multiply
    100,395x = 161,446.50 × 161,446.50
  4. Step 4: Simplify right side
    100,395x = 26,064,972,362.25
  5. Step 5: Solve for x
    x = 26,064,972,362.25/100,395
  6. Step 6: Final answer
    x = 259,624.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.