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Finding the Third Proportional to 147,296 and 319,540

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Solution

The third proportional to 147,296 and 319,540 is: 693,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,296 : 319,540 = 319,540 : x
  2. Step 2: Convert to fraction form
    147,296/319,540 = 319,540/x
  3. Step 3: Cross multiply
    147,296x = 319,540 × 319,540
  4. Step 4: Simplify right side
    147,296x = 102,105,811,600
  5. Step 5: Solve for x
    x = 102,105,811,600/147,296
  6. Step 6: Final answer
    x = 693,201.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.