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Finding the Third Proportional to 147,746 and 304,204

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Solution

The third proportional to 147,746 and 304,204 is: 626,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,746 : 304,204 = 304,204 : x
  2. Step 2: Convert to fraction form
    147,746/304,204 = 304,204/x
  3. Step 3: Cross multiply
    147,746x = 304,204 × 304,204
  4. Step 4: Simplify right side
    147,746x = 92,540,073,616
  5. Step 5: Solve for x
    x = 92,540,073,616/147,746
  6. Step 6: Final answer
    x = 626,345.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.