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Finding the Third Proportional to 358,161.75 and 541,854

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Solution

The third proportional to 358,161.75 and 541,854 is: 819,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,161.75 : 541,854 = 541,854 : x
  2. Step 2: Convert to fraction form
    358,161.75/541,854 = 541,854/x
  3. Step 3: Cross multiply
    358,161.75x = 541,854 × 541,854
  4. Step 4: Simplify right side
    358,161.75x = 293,605,757,316
  5. Step 5: Solve for x
    x = 293,605,757,316/358,161.75
  6. Step 6: Final answer
    x = 819,757.43

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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.