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Finding the Third Proportional to 191,879.63 and 287,842.13

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Solution

The third proportional to 191,879.63 and 287,842.13 is: 431,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,879.63 : 287,842.13 = 287,842.13 : x
  2. Step 2: Convert to fraction form
    191,879.63/287,842.13 = 287,842.13/x
  3. Step 3: Cross multiply
    191,879.63x = 287,842.13 × 287,842.13
  4. Step 4: Simplify right side
    191,879.63x = 82,853,088,924.52
  5. Step 5: Solve for x
    x = 82,853,088,924.52/191,879.63
  6. Step 6: Final answer
    x = 431,797.22

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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.