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Finding the Third Proportional to 358,166.25 and 541,860.75

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Solution

The third proportional to 358,166.25 and 541,860.75 is: 819,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,166.25 : 541,860.75 = 541,860.75 : x
  2. Step 2: Convert to fraction form
    358,166.25/541,860.75 = 541,860.75/x
  3. Step 3: Cross multiply
    358,166.25x = 541,860.75 × 541,860.75
  4. Step 4: Simplify right side
    358,166.25x = 293,613,072,390.56
  5. Step 5: Solve for x
    x = 293,613,072,390.56/358,166.25
  6. Step 6: Final answer
    x = 819,767.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.