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Finding the Third Proportional to 106,491 and 234,588

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Solution

The third proportional to 106,491 and 234,588 is: 516,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491 : 234,588 = 234,588 : x
  2. Step 2: Convert to fraction form
    106,491/234,588 = 234,588/x
  3. Step 3: Cross multiply
    106,491x = 234,588 × 234,588
  4. Step 4: Simplify right side
    106,491x = 55,031,529,744
  5. Step 5: Solve for x
    x = 55,031,529,744/106,491
  6. Step 6: Final answer
    x = 516,771.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.