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Finding the Third Proportional to 199,999.13 and 330,334.88

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Solution

The third proportional to 199,999.13 and 330,334.88 is: 545,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,999.13 : 330,334.88 = 330,334.88 : x
  2. Step 2: Convert to fraction form
    199,999.13/330,334.88 = 330,334.88/x
  3. Step 3: Cross multiply
    199,999.13x = 330,334.88 × 330,334.88
  4. Step 4: Simplify right side
    199,999.13x = 109,121,129,641.27
  5. Step 5: Solve for x
    x = 109,121,129,641.27/199,999.13
  6. Step 6: Final answer
    x = 545,608.04

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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.