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Finding the Third Proportional to 191,175.75 and 286,836.75

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Solution

The third proportional to 191,175.75 and 286,836.75 is: 430,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,175.75 : 286,836.75 = 286,836.75 : x
  2. Step 2: Convert to fraction form
    191,175.75/286,836.75 = 286,836.75/x
  3. Step 3: Cross multiply
    191,175.75x = 286,836.75 × 286,836.75
  4. Step 4: Simplify right side
    191,175.75x = 82,275,321,150.56
  5. Step 5: Solve for x
    x = 82,275,321,150.56/191,175.75
  6. Step 6: Final answer
    x = 430,364.84

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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.