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Finding the Third Proportional to 169,778.25 and 353,478.38

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Solution

The third proportional to 169,778.25 and 353,478.38 is: 735,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,778.25 : 353,478.38 = 353,478.38 : x
  2. Step 2: Convert to fraction form
    169,778.25/353,478.38 = 353,478.38/x
  3. Step 3: Cross multiply
    169,778.25x = 353,478.38 × 353,478.38
  4. Step 4: Simplify right side
    169,778.25x = 124,946,961,592.64
  5. Step 5: Solve for x
    x = 124,946,961,592.64/169,778.25
  6. Step 6: Final answer
    x = 735,942.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.