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Finding the Third Proportional to 152,946.38 and 331,092.75

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Solution

The third proportional to 152,946.38 and 331,092.75 is: 716,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946.38 : 331,092.75 = 331,092.75 : x
  2. Step 2: Convert to fraction form
    152,946.38/331,092.75 = 331,092.75/x
  3. Step 3: Cross multiply
    152,946.38x = 331,092.75 × 331,092.75
  4. Step 4: Simplify right side
    152,946.38x = 109,622,409,102.56
  5. Step 5: Solve for x
    x = 109,622,409,102.56/152,946.38
  6. Step 6: Final answer
    x = 716,737.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.