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Finding the Third Proportional to 199,605 and 273,487.50

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Solution

The third proportional to 199,605 and 273,487.50 is: 374,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,605 : 273,487.50 = 273,487.50 : x
  2. Step 2: Convert to fraction form
    199,605/273,487.50 = 273,487.50/x
  3. Step 3: Cross multiply
    199,605x = 273,487.50 × 273,487.50
  4. Step 4: Simplify right side
    199,605x = 74,795,412,656.25
  5. Step 5: Solve for x
    x = 74,795,412,656.25/199,605
  6. Step 6: Final answer
    x = 374,717.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.