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Finding the Third Proportional to 228,908.25 and 350,166.38

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Solution

The third proportional to 228,908.25 and 350,166.38 is: 535,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,908.25 : 350,166.38 = 350,166.38 : x
  2. Step 2: Convert to fraction form
    228,908.25/350,166.38 = 350,166.38/x
  3. Step 3: Cross multiply
    228,908.25x = 350,166.38 × 350,166.38
  4. Step 4: Simplify right side
    228,908.25x = 122,616,490,180.64
  5. Step 5: Solve for x
    x = 122,616,490,180.64/228,908.25
  6. Step 6: Final answer
    x = 535,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.