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Finding the Third Proportional to 131,321 and 196,933.50

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Solution

The third proportional to 131,321 and 196,933.50 is: 295,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,321 : 196,933.50 = 196,933.50 : x
  2. Step 2: Convert to fraction form
    131,321/196,933.50 = 196,933.50/x
  3. Step 3: Cross multiply
    131,321x = 196,933.50 × 196,933.50
  4. Step 4: Simplify right side
    131,321x = 38,782,803,422.25
  5. Step 5: Solve for x
    x = 38,782,803,422.25/131,321
  6. Step 6: Final answer
    x = 295,328.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.