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Finding the Third Proportional to 156,378.50 and 341,431.50

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Solution

The third proportional to 156,378.50 and 341,431.50 is: 745,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,378.50 : 341,431.50 = 341,431.50 : x
  2. Step 2: Convert to fraction form
    156,378.50/341,431.50 = 341,431.50/x
  3. Step 3: Cross multiply
    156,378.50x = 341,431.50 × 341,431.50
  4. Step 4: Simplify right side
    156,378.50x = 116,575,469,192.25
  5. Step 5: Solve for x
    x = 116,575,469,192.25/156,378.50
  6. Step 6: Final answer
    x = 745,469.93

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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.