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Finding the Third Proportional to 199,914.50 and 422,275

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Solution

The third proportional to 199,914.50 and 422,275 is: 891,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,914.50 : 422,275 = 422,275 : x
  2. Step 2: Convert to fraction form
    199,914.50/422,275 = 422,275/x
  3. Step 3: Cross multiply
    199,914.50x = 422,275 × 422,275
  4. Step 4: Simplify right side
    199,914.50x = 178,316,175,625
  5. Step 5: Solve for x
    x = 178,316,175,625/199,914.50
  6. Step 6: Final answer
    x = 891,962.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.