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Finding the Third Proportional to 226,086.75 and 349,915.22

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Solution

The third proportional to 226,086.75 and 349,915.22 is: 541,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,086.75 : 349,915.22 = 349,915.22 : x
  2. Step 2: Convert to fraction form
    226,086.75/349,915.22 = 349,915.22/x
  3. Step 3: Cross multiply
    226,086.75x = 349,915.22 × 349,915.22
  4. Step 4: Simplify right side
    226,086.75x = 122,440,660,312.86
  5. Step 5: Solve for x
    x = 122,440,660,312.86/226,086.75
  6. Step 6: Final answer
    x = 541,564.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.