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Finding the Third Proportional to 156,400.88 and 341,471.95

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Solution

The third proportional to 156,400.88 and 341,471.95 is: 745,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,400.88 : 341,471.95 = 341,471.95 : x
  2. Step 2: Convert to fraction form
    156,400.88/341,471.95 = 341,471.95/x
  3. Step 3: Cross multiply
    156,400.88x = 341,471.95 × 341,471.95
  4. Step 4: Simplify right side
    156,400.88x = 116,603,094,771.00
  5. Step 5: Solve for x
    x = 116,603,094,771.00/156,400.88
  6. Step 6: Final answer
    x = 745,539.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.