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Finding the Third Proportional to 204,108.61 and 324,205.66

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Solution

The third proportional to 204,108.61 and 324,205.66 is: 514,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,108.61 : 324,205.66 = 324,205.66 : x
  2. Step 2: Convert to fraction form
    204,108.61/324,205.66 = 324,205.66/x
  3. Step 3: Cross multiply
    204,108.61x = 324,205.66 × 324,205.66
  4. Step 4: Simplify right side
    204,108.61x = 105,109,312,610.21
  5. Step 5: Solve for x
    x = 105,109,312,610.21/204,108.61
  6. Step 6: Final answer
    x = 514,967.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.