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Finding the Third Proportional to 111,858 and 245,820

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Solution

The third proportional to 111,858 and 245,820 is: 540,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,858 : 245,820 = 245,820 : x
  2. Step 2: Convert to fraction form
    111,858/245,820 = 245,820/x
  3. Step 3: Cross multiply
    111,858x = 245,820 × 245,820
  4. Step 4: Simplify right side
    111,858x = 60,427,472,400
  5. Step 5: Solve for x
    x = 60,427,472,400/111,858
  6. Step 6: Final answer
    x = 540,215.92

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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.