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Finding the Third Proportional to 111,572 and 234,622

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Solution

The third proportional to 111,572 and 234,622 is: 493,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,572 : 234,622 = 234,622 : x
  2. Step 2: Convert to fraction form
    111,572/234,622 = 234,622/x
  3. Step 3: Cross multiply
    111,572x = 234,622 × 234,622
  4. Step 4: Simplify right side
    111,572x = 55,047,482,884
  5. Step 5: Solve for x
    x = 55,047,482,884/111,572
  6. Step 6: Final answer
    x = 493,380.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.