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Finding the Third Proportional to 178,016 and 248,880

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Solution

The third proportional to 178,016 and 248,880 is: 347,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,016 : 248,880 = 248,880 : x
  2. Step 2: Convert to fraction form
    178,016/248,880 = 248,880/x
  3. Step 3: Cross multiply
    178,016x = 248,880 × 248,880
  4. Step 4: Simplify right side
    178,016x = 61,941,254,400
  5. Step 5: Solve for x
    x = 61,941,254,400/178,016
  6. Step 6: Final answer
    x = 347,953.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.