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Finding the Third Proportional to 199,785.75 and 424,998.75

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Solution

The third proportional to 199,785.75 and 424,998.75 is: 904,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,785.75 : 424,998.75 = 424,998.75 : x
  2. Step 2: Convert to fraction form
    199,785.75/424,998.75 = 424,998.75/x
  3. Step 3: Cross multiply
    199,785.75x = 424,998.75 × 424,998.75
  4. Step 4: Simplify right side
    199,785.75x = 180,623,937,501.56
  5. Step 5: Solve for x
    x = 180,623,937,501.56/199,785.75
  6. Step 6: Final answer
    x = 904,088.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.