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Finding the Third Proportional to 85,434 and 199,612.38

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Solution

The third proportional to 85,434 and 199,612.38 is: 466,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434 : 199,612.38 = 199,612.38 : x
  2. Step 2: Convert to fraction form
    85,434/199,612.38 = 199,612.38/x
  3. Step 3: Cross multiply
    85,434x = 199,612.38 × 199,612.38
  4. Step 4: Simplify right side
    85,434x = 39,845,100,253.14
  5. Step 5: Solve for x
    x = 39,845,100,253.14/85,434
  6. Step 6: Final answer
    x = 466,384.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.