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Finding the Third Proportional to 175,544 and 384,424

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Solution

The third proportional to 175,544 and 384,424 is: 841,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,544 : 384,424 = 384,424 : x
  2. Step 2: Convert to fraction form
    175,544/384,424 = 384,424/x
  3. Step 3: Cross multiply
    175,544x = 384,424 × 384,424
  4. Step 4: Simplify right side
    175,544x = 147,781,811,776
  5. Step 5: Solve for x
    x = 147,781,811,776/175,544
  6. Step 6: Final answer
    x = 841,850.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.