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Finding the Third Proportional to 119,846.25 and 262,242.56

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Solution

The third proportional to 119,846.25 and 262,242.56 is: 573,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846.25 : 262,242.56 = 262,242.56 : x
  2. Step 2: Convert to fraction form
    119,846.25/262,242.56 = 262,242.56/x
  3. Step 3: Cross multiply
    119,846.25x = 262,242.56 × 262,242.56
  4. Step 4: Simplify right side
    119,846.25x = 68,771,161,586.57
  5. Step 5: Solve for x
    x = 68,771,161,586.57/119,846.25
  6. Step 6: Final answer
    x = 573,828.23

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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.