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Finding the Third Proportional to 76,308 and 166,278

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Solution

The third proportional to 76,308 and 166,278 is: 362,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308 : 166,278 = 166,278 : x
  2. Step 2: Convert to fraction form
    76,308/166,278 = 166,278/x
  3. Step 3: Cross multiply
    76,308x = 166,278 × 166,278
  4. Step 4: Simplify right side
    76,308x = 27,648,373,284
  5. Step 5: Solve for x
    x = 27,648,373,284/76,308
  6. Step 6: Final answer
    x = 362,326.01

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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.