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Finding the Third Proportional to 156,172.50 and 236,181

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Solution

The third proportional to 156,172.50 and 236,181 is: 357,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,172.50 : 236,181 = 236,181 : x
  2. Step 2: Convert to fraction form
    156,172.50/236,181 = 236,181/x
  3. Step 3: Cross multiply
    156,172.50x = 236,181 × 236,181
  4. Step 4: Simplify right side
    156,172.50x = 55,781,464,761
  5. Step 5: Solve for x
    x = 55,781,464,761/156,172.50
  6. Step 6: Final answer
    x = 357,178.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.