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Finding the Third Proportional to 204,931.27 and 324,005.06

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Solution

The third proportional to 204,931.27 and 324,005.06 is: 512,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,931.27 : 324,005.06 = 324,005.06 : x
  2. Step 2: Convert to fraction form
    204,931.27/324,005.06 = 324,005.06/x
  3. Step 3: Cross multiply
    204,931.27x = 324,005.06 × 324,005.06
  4. Step 4: Simplify right side
    204,931.27x = 104,979,280,525.63
  5. Step 5: Solve for x
    x = 104,979,280,525.63/204,931.27
  6. Step 6: Final answer
    x = 512,265.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.