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Finding the Third Proportional to 175,974 and 385,206

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Solution

The third proportional to 175,974 and 385,206 is: 843,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,974 : 385,206 = 385,206 : x
  2. Step 2: Convert to fraction form
    175,974/385,206 = 385,206/x
  3. Step 3: Cross multiply
    175,974x = 385,206 × 385,206
  4. Step 4: Simplify right side
    175,974x = 148,383,662,436
  5. Step 5: Solve for x
    x = 148,383,662,436/175,974
  6. Step 6: Final answer
    x = 843,213.56

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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.