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Finding the Third Proportional to 226,508.75 and 317,491.50

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Solution

The third proportional to 226,508.75 and 317,491.50 is: 445,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,508.75 : 317,491.50 = 317,491.50 : x
  2. Step 2: Convert to fraction form
    226,508.75/317,491.50 = 317,491.50/x
  3. Step 3: Cross multiply
    226,508.75x = 317,491.50 × 317,491.50
  4. Step 4: Simplify right side
    226,508.75x = 100,800,852,572.25
  5. Step 5: Solve for x
    x = 100,800,852,572.25/226,508.75
  6. Step 6: Final answer
    x = 445,019.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.