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Finding the Third Proportional to 131,185 and 283,106

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Solution

The third proportional to 131,185 and 283,106 is: 610,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,185 : 283,106 = 283,106 : x
  2. Step 2: Convert to fraction form
    131,185/283,106 = 283,106/x
  3. Step 3: Cross multiply
    131,185x = 283,106 × 283,106
  4. Step 4: Simplify right side
    131,185x = 80,149,007,236
  5. Step 5: Solve for x
    x = 80,149,007,236/131,185
  6. Step 6: Final answer
    x = 610,961.67

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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.