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Finding the Third Proportional to 226,000 and 306,937

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Solution

The third proportional to 226,000 and 306,937 is: 416,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,000 : 306,937 = 306,937 : x
  2. Step 2: Convert to fraction form
    226,000/306,937 = 306,937/x
  3. Step 3: Cross multiply
    226,000x = 306,937 × 306,937
  4. Step 4: Simplify right side
    226,000x = 94,210,321,969
  5. Step 5: Solve for x
    x = 94,210,321,969/226,000
  6. Step 6: Final answer
    x = 416,859.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.