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Finding the Third Proportional to 141,216 and 204,024

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Solution

The third proportional to 141,216 and 204,024 is: 294,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,216 : 204,024 = 204,024 : x
  2. Step 2: Convert to fraction form
    141,216/204,024 = 204,024/x
  3. Step 3: Cross multiply
    141,216x = 204,024 × 204,024
  4. Step 4: Simplify right side
    141,216x = 41,625,792,576
  5. Step 5: Solve for x
    x = 41,625,792,576/141,216
  6. Step 6: Final answer
    x = 294,766.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.