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Finding the Third Proportional to 228,106 and 333,491

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Solution

The third proportional to 228,106 and 333,491 is: 487,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,106 : 333,491 = 333,491 : x
  2. Step 2: Convert to fraction form
    228,106/333,491 = 333,491/x
  3. Step 3: Cross multiply
    228,106x = 333,491 × 333,491
  4. Step 4: Simplify right side
    228,106x = 111,216,247,081
  5. Step 5: Solve for x
    x = 111,216,247,081/228,106
  6. Step 6: Final answer
    x = 487,563.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.