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Finding the Third Proportional to 122,932.13 and 270,252

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Solution

The third proportional to 122,932.13 and 270,252 is: 594,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,932.13 : 270,252 = 270,252 : x
  2. Step 2: Convert to fraction form
    122,932.13/270,252 = 270,252/x
  3. Step 3: Cross multiply
    122,932.13x = 270,252 × 270,252
  4. Step 4: Simplify right side
    122,932.13x = 73,036,143,504
  5. Step 5: Solve for x
    x = 73,036,143,504/122,932.13
  6. Step 6: Final answer
    x = 594,117.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.