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Finding the Third Proportional to 120,664 and 259,740

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Solution

The third proportional to 120,664 and 259,740 is: 559,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,664 : 259,740 = 259,740 : x
  2. Step 2: Convert to fraction form
    120,664/259,740 = 259,740/x
  3. Step 3: Cross multiply
    120,664x = 259,740 × 259,740
  4. Step 4: Simplify right side
    120,664x = 67,464,867,600
  5. Step 5: Solve for x
    x = 67,464,867,600/120,664
  6. Step 6: Final answer
    x = 559,113.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.