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Finding the Third Proportional to 226,961.50 and 341,421

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Solution

The third proportional to 226,961.50 and 341,421 is: 513,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,961.50 : 341,421 = 341,421 : x
  2. Step 2: Convert to fraction form
    226,961.50/341,421 = 341,421/x
  3. Step 3: Cross multiply
    226,961.50x = 341,421 × 341,421
  4. Step 4: Simplify right side
    226,961.50x = 116,568,299,241
  5. Step 5: Solve for x
    x = 116,568,299,241/226,961.50
  6. Step 6: Final answer
    x = 513,603.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.