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Finding the Third Proportional to 99,567 and 230,679

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Solution

The third proportional to 99,567 and 230,679 is: 534,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,567 : 230,679 = 230,679 : x
  2. Step 2: Convert to fraction form
    99,567/230,679 = 230,679/x
  3. Step 3: Cross multiply
    99,567x = 230,679 × 230,679
  4. Step 4: Simplify right side
    99,567x = 53,212,801,041
  5. Step 5: Solve for x
    x = 53,212,801,041/99,567
  6. Step 6: Final answer
    x = 534,442.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.