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Finding the Third Proportional to 151,626 and 237,846

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Solution

The third proportional to 151,626 and 237,846 is: 373,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,626 : 237,846 = 237,846 : x
  2. Step 2: Convert to fraction form
    151,626/237,846 = 237,846/x
  3. Step 3: Cross multiply
    151,626x = 237,846 × 237,846
  4. Step 4: Simplify right side
    151,626x = 56,570,719,716
  5. Step 5: Solve for x
    x = 56,570,719,716/151,626
  6. Step 6: Final answer
    x = 373,093.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.