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Finding the Third Proportional to 109,366 and 171,338

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Solution

The third proportional to 109,366 and 171,338 is: 268,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,366 : 171,338 = 171,338 : x
  2. Step 2: Convert to fraction form
    109,366/171,338 = 171,338/x
  3. Step 3: Cross multiply
    109,366x = 171,338 × 171,338
  4. Step 4: Simplify right side
    109,366x = 29,356,710,244
  5. Step 5: Solve for x
    x = 29,356,710,244/109,366
  6. Step 6: Final answer
    x = 268,426.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.