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Finding the Third Proportional to 226,294.50 and 311,722.50

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Solution

The third proportional to 226,294.50 and 311,722.50 is: 429,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,294.50 : 311,722.50 = 311,722.50 : x
  2. Step 2: Convert to fraction form
    226,294.50/311,722.50 = 311,722.50/x
  3. Step 3: Cross multiply
    226,294.50x = 311,722.50 × 311,722.50
  4. Step 4: Simplify right side
    226,294.50x = 97,170,917,006.25
  5. Step 5: Solve for x
    x = 97,170,917,006.25/226,294.50
  6. Step 6: Final answer
    x = 429,400.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.