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Finding the Third Proportional to 173,760 and 377,412

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Solution

The third proportional to 173,760 and 377,412 is: 819,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,760 : 377,412 = 377,412 : x
  2. Step 2: Convert to fraction form
    173,760/377,412 = 377,412/x
  3. Step 3: Cross multiply
    173,760x = 377,412 × 377,412
  4. Step 4: Simplify right side
    173,760x = 142,439,817,744
  5. Step 5: Solve for x
    x = 142,439,817,744/173,760
  6. Step 6: Final answer
    x = 819,750.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.