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Finding the Third Proportional to 114,206 and 251,196

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Solution

The third proportional to 114,206 and 251,196 is: 552,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,206 : 251,196 = 251,196 : x
  2. Step 2: Convert to fraction form
    114,206/251,196 = 251,196/x
  3. Step 3: Cross multiply
    114,206x = 251,196 × 251,196
  4. Step 4: Simplify right side
    114,206x = 63,099,430,416
  5. Step 5: Solve for x
    x = 63,099,430,416/114,206
  6. Step 6: Final answer
    x = 552,505.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.