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Finding the Third Proportional to 175,007 and 374,800

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Solution

The third proportional to 175,007 and 374,800 is: 802,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,007 : 374,800 = 374,800 : x
  2. Step 2: Convert to fraction form
    175,007/374,800 = 374,800/x
  3. Step 3: Cross multiply
    175,007x = 374,800 × 374,800
  4. Step 4: Simplify right side
    175,007x = 140,475,040,000
  5. Step 5: Solve for x
    x = 140,475,040,000/175,007
  6. Step 6: Final answer
    x = 802,682.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.