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Finding the Third Proportional to 156,213.50 and 236,511.50

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Solution

The third proportional to 156,213.50 and 236,511.50 is: 358,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,213.50 : 236,511.50 = 236,511.50 : x
  2. Step 2: Convert to fraction form
    156,213.50/236,511.50 = 236,511.50/x
  3. Step 3: Cross multiply
    156,213.50x = 236,511.50 × 236,511.50
  4. Step 4: Simplify right side
    156,213.50x = 55,937,689,632.25
  5. Step 5: Solve for x
    x = 55,937,689,632.25/156,213.50
  6. Step 6: Final answer
    x = 358,084.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.