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Finding the Third Proportional to 226,300.50 and 341,757

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Solution

The third proportional to 226,300.50 and 341,757 is: 516,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,300.50 : 341,757 = 341,757 : x
  2. Step 2: Convert to fraction form
    226,300.50/341,757 = 341,757/x
  3. Step 3: Cross multiply
    226,300.50x = 341,757 × 341,757
  4. Step 4: Simplify right side
    226,300.50x = 116,797,847,049
  5. Step 5: Solve for x
    x = 116,797,847,049/226,300.50
  6. Step 6: Final answer
    x = 516,118.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.