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Finding the Third Proportional to 188,785.69 and 291,660.75

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Solution

The third proportional to 188,785.69 and 291,660.75 is: 450,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,785.69 : 291,660.75 = 291,660.75 : x
  2. Step 2: Convert to fraction form
    188,785.69/291,660.75 = 291,660.75/x
  3. Step 3: Cross multiply
    188,785.69x = 291,660.75 × 291,660.75
  4. Step 4: Simplify right side
    188,785.69x = 85,065,993,090.56
  5. Step 5: Solve for x
    x = 85,065,993,090.56/188,785.69
  6. Step 6: Final answer
    x = 450,595.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.