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Finding the Third Proportional to 120,577.50 and 261,906

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Solution

The third proportional to 120,577.50 and 261,906 is: 568,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577.50 : 261,906 = 261,906 : x
  2. Step 2: Convert to fraction form
    120,577.50/261,906 = 261,906/x
  3. Step 3: Cross multiply
    120,577.50x = 261,906 × 261,906
  4. Step 4: Simplify right side
    120,577.50x = 68,594,752,836
  5. Step 5: Solve for x
    x = 68,594,752,836/120,577.50
  6. Step 6: Final answer
    x = 568,885.18

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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.