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Finding the Third Proportional to 164,497.50 and 349,747.88

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Solution

The third proportional to 164,497.50 and 349,747.88 is: 743,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497.50 : 349,747.88 = 349,747.88 : x
  2. Step 2: Convert to fraction form
    164,497.50/349,747.88 = 349,747.88/x
  3. Step 3: Cross multiply
    164,497.50x = 349,747.88 × 349,747.88
  4. Step 4: Simplify right side
    164,497.50x = 122,323,576,067.02
  5. Step 5: Solve for x
    x = 122,323,576,067.02/164,497.50
  6. Step 6: Final answer
    x = 743,619.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.