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Finding the Third Proportional to 154,318 and 327,596

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Solution

The third proportional to 154,318 and 327,596 is: 695,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,318 : 327,596 = 327,596 : x
  2. Step 2: Convert to fraction form
    154,318/327,596 = 327,596/x
  3. Step 3: Cross multiply
    154,318x = 327,596 × 327,596
  4. Step 4: Simplify right side
    154,318x = 107,319,139,216
  5. Step 5: Solve for x
    x = 107,319,139,216/154,318
  6. Step 6: Final answer
    x = 695,441.49

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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.