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Finding the Third Proportional to 197,268.75 and 295,903.13

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Solution

The third proportional to 197,268.75 and 295,903.13 is: 443,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,268.75 : 295,903.13 = 295,903.13 : x
  2. Step 2: Convert to fraction form
    197,268.75/295,903.13 = 295,903.13/x
  3. Step 3: Cross multiply
    197,268.75x = 295,903.13 × 295,903.13
  4. Step 4: Simplify right side
    197,268.75x = 87,558,659,384.77
  5. Step 5: Solve for x
    x = 87,558,659,384.77/197,268.75
  6. Step 6: Final answer
    x = 443,854.69

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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.