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Finding the Third Proportional to 151,512.26 and 234,596.46

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Solution

The third proportional to 151,512.26 and 234,596.46 is: 363,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,512.26 : 234,596.46 = 234,596.46 : x
  2. Step 2: Convert to fraction form
    151,512.26/234,596.46 = 234,596.46/x
  3. Step 3: Cross multiply
    151,512.26x = 234,596.46 × 234,596.46
  4. Step 4: Simplify right side
    151,512.26x = 55,035,499,484.40
  5. Step 5: Solve for x
    x = 55,035,499,484.40/151,512.26
  6. Step 6: Final answer
    x = 363,241.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.