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Finding the Third Proportional to 163,469 and 245,367

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Solution

The third proportional to 163,469 and 245,367 is: 368,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,469 : 245,367 = 245,367 : x
  2. Step 2: Convert to fraction form
    163,469/245,367 = 245,367/x
  3. Step 3: Cross multiply
    163,469x = 245,367 × 245,367
  4. Step 4: Simplify right side
    163,469x = 60,204,964,689
  5. Step 5: Solve for x
    x = 60,204,964,689/163,469
  6. Step 6: Final answer
    x = 368,295.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.