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Finding the Third Proportional to 175,956 and 391,168

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Solution

The third proportional to 175,956 and 391,168 is: 869,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,956 : 391,168 = 391,168 : x
  2. Step 2: Convert to fraction form
    175,956/391,168 = 391,168/x
  3. Step 3: Cross multiply
    175,956x = 391,168 × 391,168
  4. Step 4: Simplify right side
    175,956x = 153,012,404,224
  5. Step 5: Solve for x
    x = 153,012,404,224/175,956
  6. Step 6: Final answer
    x = 869,606.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.