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Finding the Third Proportional to 151,170 and 235,945

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Solution

The third proportional to 151,170 and 235,945 is: 368,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,170 : 235,945 = 235,945 : x
  2. Step 2: Convert to fraction form
    151,170/235,945 = 235,945/x
  3. Step 3: Cross multiply
    151,170x = 235,945 × 235,945
  4. Step 4: Simplify right side
    151,170x = 55,670,043,025
  5. Step 5: Solve for x
    x = 55,670,043,025/151,170
  6. Step 6: Final answer
    x = 368,261.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.