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Finding the Third Proportional to 179,701 and 385,645

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Solution

The third proportional to 179,701 and 385,645 is: 827,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701 : 385,645 = 385,645 : x
  2. Step 2: Convert to fraction form
    179,701/385,645 = 385,645/x
  3. Step 3: Cross multiply
    179,701x = 385,645 × 385,645
  4. Step 4: Simplify right side
    179,701x = 148,722,066,025
  5. Step 5: Solve for x
    x = 148,722,066,025/179,701
  6. Step 6: Final answer
    x = 827,608.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.