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Finding the Third Proportional to 159,827 and 248,144

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Solution

The third proportional to 159,827 and 248,144 is: 385,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,827 : 248,144 = 248,144 : x
  2. Step 2: Convert to fraction form
    159,827/248,144 = 248,144/x
  3. Step 3: Cross multiply
    159,827x = 248,144 × 248,144
  4. Step 4: Simplify right side
    159,827x = 61,575,444,736
  5. Step 5: Solve for x
    x = 61,575,444,736/159,827
  6. Step 6: Final answer
    x = 385,263.10

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