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Finding the Third Proportional to 151,466 and 235,183

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Solution

The third proportional to 151,466 and 235,183 is: 365,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,466 : 235,183 = 235,183 : x
  2. Step 2: Convert to fraction form
    151,466/235,183 = 235,183/x
  3. Step 3: Cross multiply
    151,466x = 235,183 × 235,183
  4. Step 4: Simplify right side
    151,466x = 55,311,043,489
  5. Step 5: Solve for x
    x = 55,311,043,489/151,466
  6. Step 6: Final answer
    x = 365,171.35

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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.