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Finding the Third Proportional to 131,510 and 213,657

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Solution

The third proportional to 131,510 and 213,657 is: 347,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,510 : 213,657 = 213,657 : x
  2. Step 2: Convert to fraction form
    131,510/213,657 = 213,657/x
  3. Step 3: Cross multiply
    131,510x = 213,657 × 213,657
  4. Step 4: Simplify right side
    131,510x = 45,649,313,649
  5. Step 5: Solve for x
    x = 45,649,313,649/131,510
  6. Step 6: Final answer
    x = 347,116.67

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.