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Finding the Third Proportional to 191,855.25 and 287,782.88

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Solution

The third proportional to 191,855.25 and 287,782.88 is: 431,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,855.25 : 287,782.88 = 287,782.88 : x
  2. Step 2: Convert to fraction form
    191,855.25/287,782.88 = 287,782.88/x
  3. Step 3: Cross multiply
    191,855.25x = 287,782.88 × 287,782.88
  4. Step 4: Simplify right side
    191,855.25x = 82,818,983,143.27
  5. Step 5: Solve for x
    x = 82,818,983,143.27/191,855.25
  6. Step 6: Final answer
    x = 431,674.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.