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Finding the Third Proportional to 192,699 and 273,883.50

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Solution

The third proportional to 192,699 and 273,883.50 is: 389,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,699 : 273,883.50 = 273,883.50 : x
  2. Step 2: Convert to fraction form
    192,699/273,883.50 = 273,883.50/x
  3. Step 3: Cross multiply
    192,699x = 273,883.50 × 273,883.50
  4. Step 4: Simplify right side
    192,699x = 75,012,171,572.25
  5. Step 5: Solve for x
    x = 75,012,171,572.25/192,699
  6. Step 6: Final answer
    x = 389,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.