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Finding the Third Proportional to 156,404.25 and 341,478.75

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Solution

The third proportional to 156,404.25 and 341,478.75 is: 745,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,404.25 : 341,478.75 = 341,478.75 : x
  2. Step 2: Convert to fraction form
    156,404.25/341,478.75 = 341,478.75/x
  3. Step 3: Cross multiply
    156,404.25x = 341,478.75 × 341,478.75
  4. Step 4: Simplify right side
    156,404.25x = 116,607,736,701.56
  5. Step 5: Solve for x
    x = 116,607,736,701.56/156,404.25
  6. Step 6: Final answer
    x = 745,553.50

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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.