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Finding the Third Proportional to 175,474 and 385,924

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Solution

The third proportional to 175,474 and 385,924 is: 848,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,474 : 385,924 = 385,924 : x
  2. Step 2: Convert to fraction form
    175,474/385,924 = 385,924/x
  3. Step 3: Cross multiply
    175,474x = 385,924 × 385,924
  4. Step 4: Simplify right side
    175,474x = 148,937,333,776
  5. Step 5: Solve for x
    x = 148,937,333,776/175,474
  6. Step 6: Final answer
    x = 848,771.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.