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Finding the Third Proportional to 199,254.94 and 429,993.56

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Solution

The third proportional to 199,254.94 and 429,993.56 is: 927,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,254.94 : 429,993.56 = 429,993.56 : x
  2. Step 2: Convert to fraction form
    199,254.94/429,993.56 = 429,993.56/x
  3. Step 3: Cross multiply
    199,254.94x = 429,993.56 × 429,993.56
  4. Step 4: Simplify right side
    199,254.94x = 184,894,463,791.44
  5. Step 5: Solve for x
    x = 184,894,463,791.44/199,254.94
  6. Step 6: Final answer
    x = 927,929.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.