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Finding the Third Proportional to 119,961.75 and 262,522.50

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Solution

The third proportional to 119,961.75 and 262,522.50 is: 574,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,961.75 : 262,522.50 = 262,522.50 : x
  2. Step 2: Convert to fraction form
    119,961.75/262,522.50 = 262,522.50/x
  3. Step 3: Cross multiply
    119,961.75x = 262,522.50 × 262,522.50
  4. Step 4: Simplify right side
    119,961.75x = 68,918,063,006.25
  5. Step 5: Solve for x
    x = 68,918,063,006.25/119,961.75
  6. Step 6: Final answer
    x = 574,500.31

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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.