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Finding the Third Proportional to 156,213.56 and 236,511.56

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Solution

The third proportional to 156,213.56 and 236,511.56 is: 358,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,213.56 : 236,511.56 = 236,511.56 : x
  2. Step 2: Convert to fraction form
    156,213.56/236,511.56 = 236,511.56/x
  3. Step 3: Cross multiply
    156,213.56x = 236,511.56 × 236,511.56
  4. Step 4: Simplify right side
    156,213.56x = 55,937,719,196.19
  5. Step 5: Solve for x
    x = 55,937,719,196.19/156,213.56
  6. Step 6: Final answer
    x = 358,084.91

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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.