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Finding the Third Proportional to 146,209 and 303,906

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Solution

The third proportional to 146,209 and 303,906 is: 631,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209 : 303,906 = 303,906 : x
  2. Step 2: Convert to fraction form
    146,209/303,906 = 303,906/x
  3. Step 3: Cross multiply
    146,209x = 303,906 × 303,906
  4. Step 4: Simplify right side
    146,209x = 92,358,856,836
  5. Step 5: Solve for x
    x = 92,358,856,836/146,209
  6. Step 6: Final answer
    x = 631,690.64

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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.