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Finding the Third Proportional to 179,232 and 391,296

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Solution

The third proportional to 179,232 and 391,296 is: 854,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,232 : 391,296 = 391,296 : x
  2. Step 2: Convert to fraction form
    179,232/391,296 = 391,296/x
  3. Step 3: Cross multiply
    179,232x = 391,296 × 391,296
  4. Step 4: Simplify right side
    179,232x = 153,112,559,616
  5. Step 5: Solve for x
    x = 153,112,559,616/179,232
  6. Step 6: Final answer
    x = 854,270.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.