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Finding the Third Proportional to 215,789.91 and 326,683.13

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Solution

The third proportional to 215,789.91 and 326,683.13 is: 494,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,789.91 : 326,683.13 = 326,683.13 : x
  2. Step 2: Convert to fraction form
    215,789.91/326,683.13 = 326,683.13/x
  3. Step 3: Cross multiply
    215,789.91x = 326,683.13 × 326,683.13
  4. Step 4: Simplify right side
    215,789.91x = 106,721,864,159.77
  5. Step 5: Solve for x
    x = 106,721,864,159.77/215,789.91
  6. Step 6: Final answer
    x = 494,563.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.