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Finding the Third Proportional to 111,393 and 240,354

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Solution

The third proportional to 111,393 and 240,354 is: 518,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,393 : 240,354 = 240,354 : x
  2. Step 2: Convert to fraction form
    111,393/240,354 = 240,354/x
  3. Step 3: Cross multiply
    111,393x = 240,354 × 240,354
  4. Step 4: Simplify right side
    111,393x = 57,770,045,316
  5. Step 5: Solve for x
    x = 57,770,045,316/111,393
  6. Step 6: Final answer
    x = 518,614.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.