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Finding the Third Proportional to 120,938 and 262,588

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Solution

The third proportional to 120,938 and 262,588 is: 570,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,938 : 262,588 = 262,588 : x
  2. Step 2: Convert to fraction form
    120,938/262,588 = 262,588/x
  3. Step 3: Cross multiply
    120,938x = 262,588 × 262,588
  4. Step 4: Simplify right side
    120,938x = 68,952,457,744
  5. Step 5: Solve for x
    x = 68,952,457,744/120,938
  6. Step 6: Final answer
    x = 570,147.16

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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.