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Finding the Third Proportional to 163,786.50 and 347,337

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Solution

The third proportional to 163,786.50 and 347,337 is: 736,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786.50 : 347,337 = 347,337 : x
  2. Step 2: Convert to fraction form
    163,786.50/347,337 = 347,337/x
  3. Step 3: Cross multiply
    163,786.50x = 347,337 × 347,337
  4. Step 4: Simplify right side
    163,786.50x = 120,642,991,569
  5. Step 5: Solve for x
    x = 120,642,991,569/163,786.50
  6. Step 6: Final answer
    x = 736,586.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.