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Finding the Third Proportional to 240,673 and 374,172

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Solution

The third proportional to 240,673 and 374,172 is: 581,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,673 : 374,172 = 374,172 : x
  2. Step 2: Convert to fraction form
    240,673/374,172 = 374,172/x
  3. Step 3: Cross multiply
    240,673x = 374,172 × 374,172
  4. Step 4: Simplify right side
    240,673x = 140,004,685,584
  5. Step 5: Solve for x
    x = 140,004,685,584/240,673
  6. Step 6: Final answer
    x = 581,721.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.