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Finding the Third Proportional to 199,795.50 and 428,022

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Solution

The third proportional to 199,795.50 and 428,022 is: 916,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,795.50 : 428,022 = 428,022 : x
  2. Step 2: Convert to fraction form
    199,795.50/428,022 = 428,022/x
  3. Step 3: Cross multiply
    199,795.50x = 428,022 × 428,022
  4. Step 4: Simplify right side
    199,795.50x = 183,202,832,484
  5. Step 5: Solve for x
    x = 183,202,832,484/199,795.50
  6. Step 6: Final answer
    x = 916,951.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.