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Finding the Third Proportional to 107,991 and 234,830

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Solution

The third proportional to 107,991 and 234,830 is: 510,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,991 : 234,830 = 234,830 : x
  2. Step 2: Convert to fraction form
    107,991/234,830 = 234,830/x
  3. Step 3: Cross multiply
    107,991x = 234,830 × 234,830
  4. Step 4: Simplify right side
    107,991x = 55,145,128,900
  5. Step 5: Solve for x
    x = 55,145,128,900/107,991
  6. Step 6: Final answer
    x = 510,645.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.