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Finding the Third Proportional to 199,032.19 and 429,760.69

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Solution

The third proportional to 199,032.19 and 429,760.69 is: 927,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,032.19 : 429,760.69 = 429,760.69 : x
  2. Step 2: Convert to fraction form
    199,032.19/429,760.69 = 429,760.69/x
  3. Step 3: Cross multiply
    199,032.19x = 429,760.69 × 429,760.69
  4. Step 4: Simplify right side
    199,032.19x = 184,694,248,520.47
  5. Step 5: Solve for x
    x = 184,694,248,520.47/199,032.19
  6. Step 6: Final answer
    x = 927,961.71

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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.