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Finding the Third Proportional to 116,721 and 260,658

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Solution

The third proportional to 116,721 and 260,658 is: 582,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,721 : 260,658 = 260,658 : x
  2. Step 2: Convert to fraction form
    116,721/260,658 = 260,658/x
  3. Step 3: Cross multiply
    116,721x = 260,658 × 260,658
  4. Step 4: Simplify right side
    116,721x = 67,942,592,964
  5. Step 5: Solve for x
    x = 67,942,592,964/116,721
  6. Step 6: Final answer
    x = 582,093.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.