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Finding the Third Proportional to 228,001 and 340,724

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Solution

The third proportional to 228,001 and 340,724 is: 509,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,001 : 340,724 = 340,724 : x
  2. Step 2: Convert to fraction form
    228,001/340,724 = 340,724/x
  3. Step 3: Cross multiply
    228,001x = 340,724 × 340,724
  4. Step 4: Simplify right side
    228,001x = 116,092,844,176
  5. Step 5: Solve for x
    x = 116,092,844,176/228,001
  6. Step 6: Final answer
    x = 509,176.91

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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.