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Finding the Third Proportional to 139,590 and 199,379.25

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Solution

The third proportional to 139,590 and 199,379.25 is: 284,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,590 : 199,379.25 = 199,379.25 : x
  2. Step 2: Convert to fraction form
    139,590/199,379.25 = 199,379.25/x
  3. Step 3: Cross multiply
    139,590x = 199,379.25 × 199,379.25
  4. Step 4: Simplify right side
    139,590x = 39,752,085,330.56
  5. Step 5: Solve for x
    x = 39,752,085,330.56/139,590
  6. Step 6: Final answer
    x = 284,777.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.