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Finding the Third Proportional to 111,520 and 245,216

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Solution

The third proportional to 111,520 and 245,216 is: 539,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,520 : 245,216 = 245,216 : x
  2. Step 2: Convert to fraction form
    111,520/245,216 = 245,216/x
  3. Step 3: Cross multiply
    111,520x = 245,216 × 245,216
  4. Step 4: Simplify right side
    111,520x = 60,130,886,656
  5. Step 5: Solve for x
    x = 60,130,886,656/111,520
  6. Step 6: Final answer
    x = 539,193.75

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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.