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Finding the Third Proportional to 110,756 and 260,024

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Solution

The third proportional to 110,756 and 260,024 is: 610,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,756 : 260,024 = 260,024 : x
  2. Step 2: Convert to fraction form
    110,756/260,024 = 260,024/x
  3. Step 3: Cross multiply
    110,756x = 260,024 × 260,024
  4. Step 4: Simplify right side
    110,756x = 67,612,480,576
  5. Step 5: Solve for x
    x = 67,612,480,576/110,756
  6. Step 6: Final answer
    x = 610,463.37

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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.