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Finding the Third Proportional to 154,336 and 327,628

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Solution

The third proportional to 154,336 and 327,628 is: 695,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,336 : 327,628 = 327,628 : x
  2. Step 2: Convert to fraction form
    154,336/327,628 = 327,628/x
  3. Step 3: Cross multiply
    154,336x = 327,628 × 327,628
  4. Step 4: Simplify right side
    154,336x = 107,340,106,384
  5. Step 5: Solve for x
    x = 107,340,106,384/154,336
  6. Step 6: Final answer
    x = 695,496.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.