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Finding the Third Proportional to 173,386 and 378,524

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Solution

The third proportional to 173,386 and 378,524 is: 826,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,386 : 378,524 = 378,524 : x
  2. Step 2: Convert to fraction form
    173,386/378,524 = 378,524/x
  3. Step 3: Cross multiply
    173,386x = 378,524 × 378,524
  4. Step 4: Simplify right side
    173,386x = 143,280,418,576
  5. Step 5: Solve for x
    x = 143,280,418,576/173,386
  6. Step 6: Final answer
    x = 826,366.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.