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Finding the Third Proportional to 110,766 and 260,046

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Solution

The third proportional to 110,766 and 260,046 is: 610,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766 : 260,046 = 260,046 : x
  2. Step 2: Convert to fraction form
    110,766/260,046 = 260,046/x
  3. Step 3: Cross multiply
    110,766x = 260,046 × 260,046
  4. Step 4: Simplify right side
    110,766x = 67,623,922,116
  5. Step 5: Solve for x
    x = 67,623,922,116/110,766
  6. Step 6: Final answer
    x = 610,511.55

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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.