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Finding the Third Proportional to 156,048 and 248,328

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Solution

The third proportional to 156,048 and 248,328 is: 395,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,048 : 248,328 = 248,328 : x
  2. Step 2: Convert to fraction form
    156,048/248,328 = 248,328/x
  3. Step 3: Cross multiply
    156,048x = 248,328 × 248,328
  4. Step 4: Simplify right side
    156,048x = 61,666,795,584
  5. Step 5: Solve for x
    x = 61,666,795,584/156,048
  6. Step 6: Final answer
    x = 395,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.