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Finding the Third Proportional to 199,992.38 and 330,323.06

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Solution

The third proportional to 199,992.38 and 330,323.06 is: 545,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,992.38 : 330,323.06 = 330,323.06 : x
  2. Step 2: Convert to fraction form
    199,992.38/330,323.06 = 330,323.06/x
  3. Step 3: Cross multiply
    199,992.38x = 330,323.06 × 330,323.06
  4. Step 4: Simplify right side
    199,992.38x = 109,113,325,619.38
  5. Step 5: Solve for x
    x = 109,113,325,619.38/199,992.38
  6. Step 6: Final answer
    x = 545,587.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.