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Finding the Third Proportional to 159,410 and 244,238

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Solution

The third proportional to 159,410 and 244,238 is: 374,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,410 : 244,238 = 244,238 : x
  2. Step 2: Convert to fraction form
    159,410/244,238 = 244,238/x
  3. Step 3: Cross multiply
    159,410x = 244,238 × 244,238
  4. Step 4: Simplify right side
    159,410x = 59,652,200,644
  5. Step 5: Solve for x
    x = 59,652,200,644/159,410
  6. Step 6: Final answer
    x = 374,206.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.