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Finding the Third Proportional to 186,808 and 251,696

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Solution

The third proportional to 186,808 and 251,696 is: 339,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,808 : 251,696 = 251,696 : x
  2. Step 2: Convert to fraction form
    186,808/251,696 = 251,696/x
  3. Step 3: Cross multiply
    186,808x = 251,696 × 251,696
  4. Step 4: Simplify right side
    186,808x = 63,350,876,416
  5. Step 5: Solve for x
    x = 63,350,876,416/186,808
  6. Step 6: Final answer
    x = 339,122.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.