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Finding the Third Proportional to 191,044.27 and 404,827.80

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Solution

The third proportional to 191,044.27 and 404,827.80 is: 857,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,044.27 : 404,827.80 = 404,827.80 : x
  2. Step 2: Convert to fraction form
    191,044.27/404,827.80 = 404,827.80/x
  3. Step 3: Cross multiply
    191,044.27x = 404,827.80 × 404,827.80
  4. Step 4: Simplify right side
    191,044.27x = 163,885,544,331.98
  5. Step 5: Solve for x
    x = 163,885,544,331.98/191,044.27
  6. Step 6: Final answer
    x = 857,840.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.