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Finding the Third Proportional to 79,984 and 185,165

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Solution

The third proportional to 79,984 and 185,165 is: 428,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,984 : 185,165 = 185,165 : x
  2. Step 2: Convert to fraction form
    79,984/185,165 = 185,165/x
  3. Step 3: Cross multiply
    79,984x = 185,165 × 185,165
  4. Step 4: Simplify right side
    79,984x = 34,286,077,225
  5. Step 5: Solve for x
    x = 34,286,077,225/79,984
  6. Step 6: Final answer
    x = 428,661.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.