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Finding the Third Proportional to 191,704.13 and 403,238.63

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Solution

The third proportional to 191,704.13 and 403,238.63 is: 848,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,704.13 : 403,238.63 = 403,238.63 : x
  2. Step 2: Convert to fraction form
    191,704.13/403,238.63 = 403,238.63/x
  3. Step 3: Cross multiply
    191,704.13x = 403,238.63 × 403,238.63
  4. Step 4: Simplify right side
    191,704.13x = 162,601,388,691.89
  5. Step 5: Solve for x
    x = 162,601,388,691.89/191,704.13
  6. Step 6: Final answer
    x = 848,189.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.