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Finding the Third Proportional to 164,524 and 248,000

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Solution

The third proportional to 164,524 and 248,000 is: 373,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,524 : 248,000 = 248,000 : x
  2. Step 2: Convert to fraction form
    164,524/248,000 = 248,000/x
  3. Step 3: Cross multiply
    164,524x = 248,000 × 248,000
  4. Step 4: Simplify right side
    164,524x = 61,504,000,000
  5. Step 5: Solve for x
    x = 61,504,000,000/164,524
  6. Step 6: Final answer
    x = 373,829.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.