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Finding the Third Proportional to 120,366 and 263,088

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Solution

The third proportional to 120,366 and 263,088 is: 575,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,366 : 263,088 = 263,088 : x
  2. Step 2: Convert to fraction form
    120,366/263,088 = 263,088/x
  3. Step 3: Cross multiply
    120,366x = 263,088 × 263,088
  4. Step 4: Simplify right side
    120,366x = 69,215,295,744
  5. Step 5: Solve for x
    x = 69,215,295,744/120,366
  6. Step 6: Final answer
    x = 575,040.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.