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Finding the Third Proportional to 228,001 and 340,723

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Solution

The third proportional to 228,001 and 340,723 is: 509,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,001 : 340,723 = 340,723 : x
  2. Step 2: Convert to fraction form
    228,001/340,723 = 340,723/x
  3. Step 3: Cross multiply
    228,001x = 340,723 × 340,723
  4. Step 4: Simplify right side
    228,001x = 116,092,162,729
  5. Step 5: Solve for x
    x = 116,092,162,729/228,001
  6. Step 6: Final answer
    x = 509,173.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.