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Finding the Third Proportional to 156,643.88 and 331,148.25

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Solution

The third proportional to 156,643.88 and 331,148.25 is: 700,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.88 : 331,148.25 = 331,148.25 : x
  2. Step 2: Convert to fraction form
    156,643.88/331,148.25 = 331,148.25/x
  3. Step 3: Cross multiply
    156,643.88x = 331,148.25 × 331,148.25
  4. Step 4: Simplify right side
    156,643.88x = 109,659,163,478.06
  5. Step 5: Solve for x
    x = 109,659,163,478.06/156,643.88
  6. Step 6: Final answer
    x = 700,053.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.