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Finding the Third Proportional to 147,296 and 230,419

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Solution

The third proportional to 147,296 and 230,419 is: 360,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,296 : 230,419 = 230,419 : x
  2. Step 2: Convert to fraction form
    147,296/230,419 = 230,419/x
  3. Step 3: Cross multiply
    147,296x = 230,419 × 230,419
  4. Step 4: Simplify right side
    147,296x = 53,092,915,561
  5. Step 5: Solve for x
    x = 53,092,915,561/147,296
  6. Step 6: Final answer
    x = 360,450.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.