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Finding the Third Proportional to 154,032.75 and 330,831

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Solution

The third proportional to 154,032.75 and 330,831 is: 710,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,032.75 : 330,831 = 330,831 : x
  2. Step 2: Convert to fraction form
    154,032.75/330,831 = 330,831/x
  3. Step 3: Cross multiply
    154,032.75x = 330,831 × 330,831
  4. Step 4: Simplify right side
    154,032.75x = 109,449,150,561
  5. Step 5: Solve for x
    x = 109,449,150,561/154,032.75
  6. Step 6: Final answer
    x = 710,557.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.