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Finding the Third Proportional to 187,848 and 255,852

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Solution

The third proportional to 187,848 and 255,852 is: 348,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,848 : 255,852 = 255,852 : x
  2. Step 2: Convert to fraction form
    187,848/255,852 = 255,852/x
  3. Step 3: Cross multiply
    187,848x = 255,852 × 255,852
  4. Step 4: Simplify right side
    187,848x = 65,460,245,904
  5. Step 5: Solve for x
    x = 65,460,245,904/187,848
  6. Step 6: Final answer
    x = 348,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.