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Finding the Third Proportional to 268,024 and 364,000

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Solution

The third proportional to 268,024 and 364,000 is: 494,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,024 : 364,000 = 364,000 : x
  2. Step 2: Convert to fraction form
    268,024/364,000 = 364,000/x
  3. Step 3: Cross multiply
    268,024x = 364,000 × 364,000
  4. Step 4: Simplify right side
    268,024x = 132,496,000,000
  5. Step 5: Solve for x
    x = 132,496,000,000/268,024
  6. Step 6: Final answer
    x = 494,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.