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Finding the Third Proportional to 151,322 and 234,161

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Solution

The third proportional to 151,322 and 234,161 is: 362,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,322 : 234,161 = 234,161 : x
  2. Step 2: Convert to fraction form
    151,322/234,161 = 234,161/x
  3. Step 3: Cross multiply
    151,322x = 234,161 × 234,161
  4. Step 4: Simplify right side
    151,322x = 54,831,373,921
  5. Step 5: Solve for x
    x = 54,831,373,921/151,322
  6. Step 6: Final answer
    x = 362,348.99

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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.