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Finding the Third Proportional to 171,808.50 and 374,115

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Solution

The third proportional to 171,808.50 and 374,115 is: 814,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808.50 : 374,115 = 374,115 : x
  2. Step 2: Convert to fraction form
    171,808.50/374,115 = 374,115/x
  3. Step 3: Cross multiply
    171,808.50x = 374,115 × 374,115
  4. Step 4: Simplify right side
    171,808.50x = 139,962,033,225
  5. Step 5: Solve for x
    x = 139,962,033,225/171,808.50
  6. Step 6: Final answer
    x = 814,639.75

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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.