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Finding the Third Proportional to 156,264.75 and 341,593.88

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Solution

The third proportional to 156,264.75 and 341,593.88 is: 746,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,264.75 : 341,593.88 = 341,593.88 : x
  2. Step 2: Convert to fraction form
    156,264.75/341,593.88 = 341,593.88/x
  3. Step 3: Cross multiply
    156,264.75x = 341,593.88 × 341,593.88
  4. Step 4: Simplify right side
    156,264.75x = 116,686,375,437.52
  5. Step 5: Solve for x
    x = 116,686,375,437.52/156,264.75
  6. Step 6: Final answer
    x = 746,722.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.