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Finding the Third Proportional to 119,965.50 and 262,530

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Solution

The third proportional to 119,965.50 and 262,530 is: 574,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,965.50 : 262,530 = 262,530 : x
  2. Step 2: Convert to fraction form
    119,965.50/262,530 = 262,530/x
  3. Step 3: Cross multiply
    119,965.50x = 262,530 × 262,530
  4. Step 4: Simplify right side
    119,965.50x = 68,922,000,900
  5. Step 5: Solve for x
    x = 68,922,000,900/119,965.50
  6. Step 6: Final answer
    x = 574,515.18

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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.