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Finding the Third Proportional to 191,878.88 and 287,818.31

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Solution

The third proportional to 191,878.88 and 287,818.31 is: 431,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,878.88 : 287,818.31 = 287,818.31 : x
  2. Step 2: Convert to fraction form
    191,878.88/287,818.31 = 287,818.31/x
  3. Step 3: Cross multiply
    191,878.88x = 287,818.31 × 287,818.31
  4. Step 4: Simplify right side
    191,878.88x = 82,839,381,010.35
  5. Step 5: Solve for x
    x = 82,839,381,010.35/191,878.88
  6. Step 6: Final answer
    x = 431,727.47

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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.