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Finding the Third Proportional to 187,274 and 304,245

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Solution

The third proportional to 187,274 and 304,245 is: 494,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,274 : 304,245 = 304,245 : x
  2. Step 2: Convert to fraction form
    187,274/304,245 = 304,245/x
  3. Step 3: Cross multiply
    187,274x = 304,245 × 304,245
  4. Step 4: Simplify right side
    187,274x = 92,565,020,025
  5. Step 5: Solve for x
    x = 92,565,020,025/187,274
  6. Step 6: Final answer
    x = 494,275.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.