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Finding the Third Proportional to 109,275 and 238,410

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Solution

The third proportional to 109,275 and 238,410 is: 520,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,275 : 238,410 = 238,410 : x
  2. Step 2: Convert to fraction form
    109,275/238,410 = 238,410/x
  3. Step 3: Cross multiply
    109,275x = 238,410 × 238,410
  4. Step 4: Simplify right side
    109,275x = 56,839,328,100
  5. Step 5: Solve for x
    x = 56,839,328,100/109,275
  6. Step 6: Final answer
    x = 520,149.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.