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Finding the Third Proportional to 161,100 and 236,717.25

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Solution

The third proportional to 161,100 and 236,717.25 is: 347,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,100 : 236,717.25 = 236,717.25 : x
  2. Step 2: Convert to fraction form
    161,100/236,717.25 = 236,717.25/x
  3. Step 3: Cross multiply
    161,100x = 236,717.25 × 236,717.25
  4. Step 4: Simplify right side
    161,100x = 56,035,056,447.56
  5. Step 5: Solve for x
    x = 56,035,056,447.56/161,100
  6. Step 6: Final answer
    x = 347,827.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.