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Finding the Third Proportional to 185,240 and 385,015

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Solution

The third proportional to 185,240 and 385,015 is: 800,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,240 : 385,015 = 385,015 : x
  2. Step 2: Convert to fraction form
    185,240/385,015 = 385,015/x
  3. Step 3: Cross multiply
    185,240x = 385,015 × 385,015
  4. Step 4: Simplify right side
    185,240x = 148,236,550,225
  5. Step 5: Solve for x
    x = 148,236,550,225/185,240
  6. Step 6: Final answer
    x = 800,240.50

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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.