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Finding the Third Proportional to 176,372 and 385,864

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Solution

The third proportional to 176,372 and 385,864 is: 844,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,372 : 385,864 = 385,864 : x
  2. Step 2: Convert to fraction form
    176,372/385,864 = 385,864/x
  3. Step 3: Cross multiply
    176,372x = 385,864 × 385,864
  4. Step 4: Simplify right side
    176,372x = 148,891,026,496
  5. Step 5: Solve for x
    x = 148,891,026,496/176,372
  6. Step 6: Final answer
    x = 844,187.44

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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.