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Finding the Third Proportional to 113,663 and 178,318

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Solution

The third proportional to 113,663 and 178,318 is: 279,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,663 : 178,318 = 178,318 : x
  2. Step 2: Convert to fraction form
    113,663/178,318 = 178,318/x
  3. Step 3: Cross multiply
    113,663x = 178,318 × 178,318
  4. Step 4: Simplify right side
    113,663x = 31,797,309,124
  5. Step 5: Solve for x
    x = 31,797,309,124/113,663
  6. Step 6: Final answer
    x = 279,750.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.