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Finding the Third Proportional to 158,393 and 344,669

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Solution

The third proportional to 158,393 and 344,669 is: 750,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,393 : 344,669 = 344,669 : x
  2. Step 2: Convert to fraction form
    158,393/344,669 = 344,669/x
  3. Step 3: Cross multiply
    158,393x = 344,669 × 344,669
  4. Step 4: Simplify right side
    158,393x = 118,796,719,561
  5. Step 5: Solve for x
    x = 118,796,719,561/158,393
  6. Step 6: Final answer
    x = 750,012.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.