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Finding the Third Proportional to 156,537.75 and 338,599.50

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Solution

The third proportional to 156,537.75 and 338,599.50 is: 732,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,537.75 : 338,599.50 = 338,599.50 : x
  2. Step 2: Convert to fraction form
    156,537.75/338,599.50 = 338,599.50/x
  3. Step 3: Cross multiply
    156,537.75x = 338,599.50 × 338,599.50
  4. Step 4: Simplify right side
    156,537.75x = 114,649,621,400.25
  5. Step 5: Solve for x
    x = 114,649,621,400.25/156,537.75
  6. Step 6: Final answer
    x = 732,408.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.