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Finding the Third Proportional to 154,062 and 323,028

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Solution

The third proportional to 154,062 and 323,028 is: 677,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062 : 323,028 = 323,028 : x
  2. Step 2: Convert to fraction form
    154,062/323,028 = 323,028/x
  3. Step 3: Cross multiply
    154,062x = 323,028 × 323,028
  4. Step 4: Simplify right side
    154,062x = 104,347,088,784
  5. Step 5: Solve for x
    x = 104,347,088,784/154,062
  6. Step 6: Final answer
    x = 677,305.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.