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Finding the Third Proportional to 109,184 and 236,800

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Solution

The third proportional to 109,184 and 236,800 is: 513,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,184 : 236,800 = 236,800 : x
  2. Step 2: Convert to fraction form
    109,184/236,800 = 236,800/x
  3. Step 3: Cross multiply
    109,184x = 236,800 × 236,800
  4. Step 4: Simplify right side
    109,184x = 56,074,240,000
  5. Step 5: Solve for x
    x = 56,074,240,000/109,184
  6. Step 6: Final answer
    x = 513,575.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.