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Finding the Third Proportional to 195,945.75 and 293,159.25

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Solution

The third proportional to 195,945.75 and 293,159.25 is: 438,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,945.75 : 293,159.25 = 293,159.25 : x
  2. Step 2: Convert to fraction form
    195,945.75/293,159.25 = 293,159.25/x
  3. Step 3: Cross multiply
    195,945.75x = 293,159.25 × 293,159.25
  4. Step 4: Simplify right side
    195,945.75x = 85,942,345,860.56
  5. Step 5: Solve for x
    x = 85,942,345,860.56/195,945.75
  6. Step 6: Final answer
    x = 438,602.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.