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Finding the Third Proportional to 173,533 and 377,846

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Solution

The third proportional to 173,533 and 377,846 is: 822,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,533 : 377,846 = 377,846 : x
  2. Step 2: Convert to fraction form
    173,533/377,846 = 377,846/x
  3. Step 3: Cross multiply
    173,533x = 377,846 × 377,846
  4. Step 4: Simplify right side
    173,533x = 142,767,599,716
  5. Step 5: Solve for x
    x = 142,767,599,716/173,533
  6. Step 6: Final answer
    x = 822,711.53

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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.