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Finding the Third Proportional to 176,296 and 391,832

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Solution

The third proportional to 176,296 and 391,832 is: 870,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,296 : 391,832 = 391,832 : x
  2. Step 2: Convert to fraction form
    176,296/391,832 = 391,832/x
  3. Step 3: Cross multiply
    176,296x = 391,832 × 391,832
  4. Step 4: Simplify right side
    176,296x = 153,532,316,224
  5. Step 5: Solve for x
    x = 153,532,316,224/176,296
  6. Step 6: Final answer
    x = 870,878.05

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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.