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Finding the Third Proportional to 107,830 and 226,832

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Solution

The third proportional to 107,830 and 226,832 is: 477,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830 : 226,832 = 226,832 : x
  2. Step 2: Convert to fraction form
    107,830/226,832 = 226,832/x
  3. Step 3: Cross multiply
    107,830x = 226,832 × 226,832
  4. Step 4: Simplify right side
    107,830x = 51,452,756,224
  5. Step 5: Solve for x
    x = 51,452,756,224/107,830
  6. Step 6: Final answer
    x = 477,165.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.