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Finding the Third Proportional to 228,425.63 and 336,016.13

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Solution

The third proportional to 228,425.63 and 336,016.13 is: 494,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,425.63 : 336,016.13 = 336,016.13 : x
  2. Step 2: Convert to fraction form
    228,425.63/336,016.13 = 336,016.13/x
  3. Step 3: Cross multiply
    228,425.63x = 336,016.13 × 336,016.13
  4. Step 4: Simplify right side
    228,425.63x = 112,906,836,260.02
  5. Step 5: Solve for x
    x = 112,906,836,260.02/228,425.63
  6. Step 6: Final answer
    x = 494,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.