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Finding the Third Proportional to 147,600 and 319,992

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Solution

The third proportional to 147,600 and 319,992 is: 693,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,600 : 319,992 = 319,992 : x
  2. Step 2: Convert to fraction form
    147,600/319,992 = 319,992/x
  3. Step 3: Cross multiply
    147,600x = 319,992 × 319,992
  4. Step 4: Simplify right side
    147,600x = 102,394,880,064
  5. Step 5: Solve for x
    x = 102,394,880,064/147,600
  6. Step 6: Final answer
    x = 693,732.25

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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.