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Finding the Third Proportional to 147,968 and 331,072

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Solution

The third proportional to 147,968 and 331,072 is: 740,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968 : 331,072 = 331,072 : x
  2. Step 2: Convert to fraction form
    147,968/331,072 = 331,072/x
  3. Step 3: Cross multiply
    147,968x = 331,072 × 331,072
  4. Step 4: Simplify right side
    147,968x = 109,608,669,184
  5. Step 5: Solve for x
    x = 109,608,669,184/147,968
  6. Step 6: Final answer
    x = 740,759.28

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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.