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Finding the Third Proportional to 199,452.38 and 432,135

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Solution

The third proportional to 199,452.38 and 432,135 is: 936,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,452.38 : 432,135 = 432,135 : x
  2. Step 2: Convert to fraction form
    199,452.38/432,135 = 432,135/x
  3. Step 3: Cross multiply
    199,452.38x = 432,135 × 432,135
  4. Step 4: Simplify right side
    199,452.38x = 186,740,658,225
  5. Step 5: Solve for x
    x = 186,740,658,225/199,452.38
  6. Step 6: Final answer
    x = 936,266.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.