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Finding the Third Proportional to 111,378 and 233,700

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Solution

The third proportional to 111,378 and 233,700 is: 490,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,378 : 233,700 = 233,700 : x
  2. Step 2: Convert to fraction form
    111,378/233,700 = 233,700/x
  3. Step 3: Cross multiply
    111,378x = 233,700 × 233,700
  4. Step 4: Simplify right side
    111,378x = 54,615,690,000
  5. Step 5: Solve for x
    x = 54,615,690,000/111,378
  6. Step 6: Final answer
    x = 490,363.36

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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.