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Finding the Third Proportional to 192,197.25 and 293,035.50

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Solution

The third proportional to 192,197.25 and 293,035.50 is: 446,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,197.25 : 293,035.50 = 293,035.50 : x
  2. Step 2: Convert to fraction form
    192,197.25/293,035.50 = 293,035.50/x
  3. Step 3: Cross multiply
    192,197.25x = 293,035.50 × 293,035.50
  4. Step 4: Simplify right side
    192,197.25x = 85,869,804,260.25
  5. Step 5: Solve for x
    x = 85,869,804,260.25/192,197.25
  6. Step 6: Final answer
    x = 446,779.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.