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Finding the Third Proportional to 88,182 and 208,125

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Solution

The third proportional to 88,182 and 208,125 is: 491,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 208,125 = 208,125 : x
  2. Step 2: Convert to fraction form
    88,182/208,125 = 208,125/x
  3. Step 3: Cross multiply
    88,182x = 208,125 × 208,125
  4. Step 4: Simplify right side
    88,182x = 43,316,015,625
  5. Step 5: Solve for x
    x = 43,316,015,625/88,182
  6. Step 6: Final answer
    x = 491,211.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.