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Finding the Third Proportional to 111,254 and 245,200

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Solution

The third proportional to 111,254 and 245,200 is: 540,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,254 : 245,200 = 245,200 : x
  2. Step 2: Convert to fraction form
    111,254/245,200 = 245,200/x
  3. Step 3: Cross multiply
    111,254x = 245,200 × 245,200
  4. Step 4: Simplify right side
    111,254x = 60,123,040,000
  5. Step 5: Solve for x
    x = 60,123,040,000/111,254
  6. Step 6: Final answer
    x = 540,412.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.