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Finding the Third Proportional to 228,275 and 354,846

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Solution

The third proportional to 228,275 and 354,846 is: 551,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,275 : 354,846 = 354,846 : x
  2. Step 2: Convert to fraction form
    228,275/354,846 = 354,846/x
  3. Step 3: Cross multiply
    228,275x = 354,846 × 354,846
  4. Step 4: Simplify right side
    228,275x = 125,915,683,716
  5. Step 5: Solve for x
    x = 125,915,683,716/228,275
  6. Step 6: Final answer
    x = 551,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.