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Finding the Third Proportional to 76,314 and 166,290

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Solution

The third proportional to 76,314 and 166,290 is: 362,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 166,290 = 166,290 : x
  2. Step 2: Convert to fraction form
    76,314/166,290 = 166,290/x
  3. Step 3: Cross multiply
    76,314x = 166,290 × 166,290
  4. Step 4: Simplify right side
    76,314x = 27,652,364,100
  5. Step 5: Solve for x
    x = 27,652,364,100/76,314
  6. Step 6: Final answer
    x = 362,349.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.