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Finding the Third Proportional to 164,524 and 248,812

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Solution

The third proportional to 164,524 and 248,812 is: 376,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,524 : 248,812 = 248,812 : x
  2. Step 2: Convert to fraction form
    164,524/248,812 = 248,812/x
  3. Step 3: Cross multiply
    164,524x = 248,812 × 248,812
  4. Step 4: Simplify right side
    164,524x = 61,907,411,344
  5. Step 5: Solve for x
    x = 61,907,411,344/164,524
  6. Step 6: Final answer
    x = 376,281.95

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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.