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Finding the Third Proportional to 185,242 and 385,019

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Solution

The third proportional to 185,242 and 385,019 is: 800,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,242 : 385,019 = 385,019 : x
  2. Step 2: Convert to fraction form
    185,242/385,019 = 385,019/x
  3. Step 3: Cross multiply
    185,242x = 385,019 × 385,019
  4. Step 4: Simplify right side
    185,242x = 148,239,630,361
  5. Step 5: Solve for x
    x = 148,239,630,361/185,242
  6. Step 6: Final answer
    x = 800,248.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.