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Finding the Third Proportional to 191,042.72 and 397,590.19

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Solution

The third proportional to 191,042.72 and 397,590.19 is: 827,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,042.72 : 397,590.19 = 397,590.19 : x
  2. Step 2: Convert to fraction form
    191,042.72/397,590.19 = 397,590.19/x
  3. Step 3: Cross multiply
    191,042.72x = 397,590.19 × 397,590.19
  4. Step 4: Simplify right side
    191,042.72x = 158,077,957,196.29
  5. Step 5: Solve for x
    x = 158,077,957,196.29/191,042.72
  6. Step 6: Final answer
    x = 827,448.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.