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Finding the Third Proportional to 109,269 and 238,396.50

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Solution

The third proportional to 109,269 and 238,396.50 is: 520,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 238,396.50 = 238,396.50 : x
  2. Step 2: Convert to fraction form
    109,269/238,396.50 = 238,396.50/x
  3. Step 3: Cross multiply
    109,269x = 238,396.50 × 238,396.50
  4. Step 4: Simplify right side
    109,269x = 56,832,891,212.25
  5. Step 5: Solve for x
    x = 56,832,891,212.25/109,269
  6. Step 6: Final answer
    x = 520,119.08

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