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Finding the Third Proportional to 226,136 and 351,656

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Solution

The third proportional to 226,136 and 351,656 is: 546,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,136 : 351,656 = 351,656 : x
  2. Step 2: Convert to fraction form
    226,136/351,656 = 351,656/x
  3. Step 3: Cross multiply
    226,136x = 351,656 × 351,656
  4. Step 4: Simplify right side
    226,136x = 123,661,942,336
  5. Step 5: Solve for x
    x = 123,661,942,336/226,136
  6. Step 6: Final answer
    x = 546,847.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.