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Finding the Third Proportional to 151,857.75 and 332,319

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Solution

The third proportional to 151,857.75 and 332,319 is: 727,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,857.75 : 332,319 = 332,319 : x
  2. Step 2: Convert to fraction form
    151,857.75/332,319 = 332,319/x
  3. Step 3: Cross multiply
    151,857.75x = 332,319 × 332,319
  4. Step 4: Simplify right side
    151,857.75x = 110,435,917,761
  5. Step 5: Solve for x
    x = 110,435,917,761/151,857.75
  6. Step 6: Final answer
    x = 727,232.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.