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Finding the Third Proportional to 187,380 and 246,015

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Solution

The third proportional to 187,380 and 246,015 is: 322,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,380 : 246,015 = 246,015 : x
  2. Step 2: Convert to fraction form
    187,380/246,015 = 246,015/x
  3. Step 3: Cross multiply
    187,380x = 246,015 × 246,015
  4. Step 4: Simplify right side
    187,380x = 60,523,380,225
  5. Step 5: Solve for x
    x = 60,523,380,225/187,380
  6. Step 6: Final answer
    x = 322,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.