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Finding the Third Proportional to 151,827.75 and 322,337.25

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Solution

The third proportional to 151,827.75 and 322,337.25 is: 684,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827.75 : 322,337.25 = 322,337.25 : x
  2. Step 2: Convert to fraction form
    151,827.75/322,337.25 = 322,337.25/x
  3. Step 3: Cross multiply
    151,827.75x = 322,337.25 × 322,337.25
  4. Step 4: Simplify right side
    151,827.75x = 103,901,302,737.56
  5. Step 5: Solve for x
    x = 103,901,302,737.56/151,827.75
  6. Step 6: Final answer
    x = 684,336.71

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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.