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Finding the Third Proportional to 111,570 and 245,180

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Solution

The third proportional to 111,570 and 245,180 is: 538,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,570 : 245,180 = 245,180 : x
  2. Step 2: Convert to fraction form
    111,570/245,180 = 245,180/x
  3. Step 3: Cross multiply
    111,570x = 245,180 × 245,180
  4. Step 4: Simplify right side
    111,570x = 60,113,232,400
  5. Step 5: Solve for x
    x = 60,113,232,400/111,570
  6. Step 6: Final answer
    x = 538,793.87

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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.