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Finding the Third Proportional to 172,984.50 and 374,400

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Solution

The third proportional to 172,984.50 and 374,400 is: 810,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984.50 : 374,400 = 374,400 : x
  2. Step 2: Convert to fraction form
    172,984.50/374,400 = 374,400/x
  3. Step 3: Cross multiply
    172,984.50x = 374,400 × 374,400
  4. Step 4: Simplify right side
    172,984.50x = 140,175,360,000
  5. Step 5: Solve for x
    x = 140,175,360,000/172,984.50
  6. Step 6: Final answer
    x = 810,334.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.