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Finding the Third Proportional to 199,818.56 and 431,623.31

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Solution

The third proportional to 199,818.56 and 431,623.31 is: 932,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818.56 : 431,623.31 = 431,623.31 : x
  2. Step 2: Convert to fraction form
    199,818.56/431,623.31 = 431,623.31/x
  3. Step 3: Cross multiply
    199,818.56x = 431,623.31 × 431,623.31
  4. Step 4: Simplify right side
    199,818.56x = 186,298,683,893.47
  5. Step 5: Solve for x
    x = 186,298,683,893.47/199,818.56
  6. Step 6: Final answer
    x = 932,339.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.