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Finding the Third Proportional to 228,001 and 340,725

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Solution

The third proportional to 228,001 and 340,725 is: 509,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,001 : 340,725 = 340,725 : x
  2. Step 2: Convert to fraction form
    228,001/340,725 = 340,725/x
  3. Step 3: Cross multiply
    228,001x = 340,725 × 340,725
  4. Step 4: Simplify right side
    228,001x = 116,093,525,625
  5. Step 5: Solve for x
    x = 116,093,525,625/228,001
  6. Step 6: Final answer
    x = 509,179.90

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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.