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Finding the Third Proportional to 120,936 and 262,584

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Solution

The third proportional to 120,936 and 262,584 is: 570,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,936 : 262,584 = 262,584 : x
  2. Step 2: Convert to fraction form
    120,936/262,584 = 262,584/x
  3. Step 3: Cross multiply
    120,936x = 262,584 × 262,584
  4. Step 4: Simplify right side
    120,936x = 68,950,357,056
  5. Step 5: Solve for x
    x = 68,950,357,056/120,936
  6. Step 6: Final answer
    x = 570,139.22

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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.