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Finding the Third Proportional to 120,942 and 262,875

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Solution

The third proportional to 120,942 and 262,875 is: 571,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,942 : 262,875 = 262,875 : x
  2. Step 2: Convert to fraction form
    120,942/262,875 = 262,875/x
  3. Step 3: Cross multiply
    120,942x = 262,875 × 262,875
  4. Step 4: Simplify right side
    120,942x = 69,103,265,625
  5. Step 5: Solve for x
    x = 69,103,265,625/120,942
  6. Step 6: Final answer
    x = 571,375.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.