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Finding the Third Proportional to 199,837.13 and 428,166

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Solution

The third proportional to 199,837.13 and 428,166 is: 917,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,837.13 : 428,166 = 428,166 : x
  2. Step 2: Convert to fraction form
    199,837.13/428,166 = 428,166/x
  3. Step 3: Cross multiply
    199,837.13x = 428,166 × 428,166
  4. Step 4: Simplify right side
    199,837.13x = 183,326,123,556
  5. Step 5: Solve for x
    x = 183,326,123,556/199,837.13
  6. Step 6: Final answer
    x = 917,377.71

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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.