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Finding the Third Proportional to 147,966 and 331,068

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Solution

The third proportional to 147,966 and 331,068 is: 740,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,966 : 331,068 = 331,068 : x
  2. Step 2: Convert to fraction form
    147,966/331,068 = 331,068/x
  3. Step 3: Cross multiply
    147,966x = 331,068 × 331,068
  4. Step 4: Simplify right side
    147,966x = 109,606,020,624
  5. Step 5: Solve for x
    x = 109,606,020,624/147,966
  6. Step 6: Final answer
    x = 740,751.39

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.