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Finding the Third Proportional to 171,814.50 and 374,122.13

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Solution

The third proportional to 171,814.50 and 374,122.13 is: 814,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,814.50 : 374,122.13 = 374,122.13 : x
  2. Step 2: Convert to fraction form
    171,814.50/374,122.13 = 374,122.13/x
  3. Step 3: Cross multiply
    171,814.50x = 374,122.13 × 374,122.13
  4. Step 4: Simplify right side
    171,814.50x = 139,967,364,414.52
  5. Step 5: Solve for x
    x = 139,967,364,414.52/171,814.50
  6. Step 6: Final answer
    x = 814,642.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.