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Finding the Third Proportional to 111,570 and 245,254

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Solution

The third proportional to 111,570 and 245,254 is: 539,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,570 : 245,254 = 245,254 : x
  2. Step 2: Convert to fraction form
    111,570/245,254 = 245,254/x
  3. Step 3: Cross multiply
    111,570x = 245,254 × 245,254
  4. Step 4: Simplify right side
    111,570x = 60,149,524,516
  5. Step 5: Solve for x
    x = 60,149,524,516/111,570
  6. Step 6: Final answer
    x = 539,119.16

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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.