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Finding the Third Proportional to 147,750 and 304,212

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Solution

The third proportional to 147,750 and 304,212 is: 626,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,750 : 304,212 = 304,212 : x
  2. Step 2: Convert to fraction form
    147,750/304,212 = 304,212/x
  3. Step 3: Cross multiply
    147,750x = 304,212 × 304,212
  4. Step 4: Simplify right side
    147,750x = 92,544,940,944
  5. Step 5: Solve for x
    x = 92,544,940,944/147,750
  6. Step 6: Final answer
    x = 626,361.70

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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.