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Finding the Third Proportional to 158,848 and 246,984

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Solution

The third proportional to 158,848 and 246,984 is: 384,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,848 : 246,984 = 246,984 : x
  2. Step 2: Convert to fraction form
    158,848/246,984 = 246,984/x
  3. Step 3: Cross multiply
    158,848x = 246,984 × 246,984
  4. Step 4: Simplify right side
    158,848x = 61,001,096,256
  5. Step 5: Solve for x
    x = 61,001,096,256/158,848
  6. Step 6: Final answer
    x = 384,021.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.