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Finding the Third Proportional to 163,678 and 252,267

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Solution

The third proportional to 163,678 and 252,267 is: 388,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,678 : 252,267 = 252,267 : x
  2. Step 2: Convert to fraction form
    163,678/252,267 = 252,267/x
  3. Step 3: Cross multiply
    163,678x = 252,267 × 252,267
  4. Step 4: Simplify right side
    163,678x = 63,638,639,289
  5. Step 5: Solve for x
    x = 63,638,639,289/163,678
  6. Step 6: Final answer
    x = 388,803.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.