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Finding the Third Proportional to 110,737 and 259,973

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Solution

The third proportional to 110,737 and 259,973 is: 610,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,737 : 259,973 = 259,973 : x
  2. Step 2: Convert to fraction form
    110,737/259,973 = 259,973/x
  3. Step 3: Cross multiply
    110,737x = 259,973 × 259,973
  4. Step 4: Simplify right side
    110,737x = 67,585,960,729
  5. Step 5: Solve for x
    x = 67,585,960,729/110,737
  6. Step 6: Final answer
    x = 610,328.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.