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Finding the Third Proportional to 199,832.06 and 429,310.13

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Solution

The third proportional to 199,832.06 and 429,310.13 is: 922,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,832.06 : 429,310.13 = 429,310.13 : x
  2. Step 2: Convert to fraction form
    199,832.06/429,310.13 = 429,310.13/x
  3. Step 3: Cross multiply
    199,832.06x = 429,310.13 × 429,310.13
  4. Step 4: Simplify right side
    199,832.06x = 184,307,183,427.52
  5. Step 5: Solve for x
    x = 184,307,183,427.52/199,832.06
  6. Step 6: Final answer
    x = 922,310.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.