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Finding the Third Proportional to 156,124.50 and 323,325

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Solution

The third proportional to 156,124.50 and 323,325 is: 669,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,124.50 : 323,325 = 323,325 : x
  2. Step 2: Convert to fraction form
    156,124.50/323,325 = 323,325/x
  3. Step 3: Cross multiply
    156,124.50x = 323,325 × 323,325
  4. Step 4: Simplify right side
    156,124.50x = 104,539,055,625
  5. Step 5: Solve for x
    x = 104,539,055,625/156,124.50
  6. Step 6: Final answer
    x = 669,587.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.