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Finding the Third Proportional to 165,079.50 and 236,117.25

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Solution

The third proportional to 165,079.50 and 236,117.25 is: 337,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,079.50 : 236,117.25 = 236,117.25 : x
  2. Step 2: Convert to fraction form
    165,079.50/236,117.25 = 236,117.25/x
  3. Step 3: Cross multiply
    165,079.50x = 236,117.25 × 236,117.25
  4. Step 4: Simplify right side
    165,079.50x = 55,751,355,747.56
  5. Step 5: Solve for x
    x = 55,751,355,747.56/165,079.50
  6. Step 6: Final answer
    x = 337,724.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.