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Finding the Third Proportional to 358,156.69 and 541,846.13

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Solution

The third proportional to 358,156.69 and 541,846.13 is: 819,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,156.69 : 541,846.13 = 541,846.13 : x
  2. Step 2: Convert to fraction form
    358,156.69/541,846.13 = 541,846.13/x
  3. Step 3: Cross multiply
    358,156.69x = 541,846.13 × 541,846.13
  4. Step 4: Simplify right side
    358,156.69x = 293,597,223,177.52
  5. Step 5: Solve for x
    x = 293,597,223,177.52/358,156.69
  6. Step 6: Final answer
    x = 819,745.19

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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.