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Finding the Third Proportional to 193,313.25 and 295,710.75

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Solution

The third proportional to 193,313.25 and 295,710.75 is: 452,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,313.25 : 295,710.75 = 295,710.75 : x
  2. Step 2: Convert to fraction form
    193,313.25/295,710.75 = 295,710.75/x
  3. Step 3: Cross multiply
    193,313.25x = 295,710.75 × 295,710.75
  4. Step 4: Simplify right side
    193,313.25x = 87,444,847,665.56
  5. Step 5: Solve for x
    x = 87,444,847,665.56/193,313.25
  6. Step 6: Final answer
    x = 452,347.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.