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Finding the Third Proportional to 204,903.11 and 327,345.21

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Solution

The third proportional to 204,903.11 and 327,345.21 is: 522,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,903.11 : 327,345.21 = 327,345.21 : x
  2. Step 2: Convert to fraction form
    204,903.11/327,345.21 = 327,345.21/x
  3. Step 3: Cross multiply
    204,903.11x = 327,345.21 × 327,345.21
  4. Step 4: Simplify right side
    204,903.11x = 107,154,883,287.64
  5. Step 5: Solve for x
    x = 107,154,883,287.64/204,903.11
  6. Step 6: Final answer
    x = 522,953.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.