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Finding the Third Proportional to 186,069 and 407,601

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Solution

The third proportional to 186,069 and 407,601 is: 892,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,069 : 407,601 = 407,601 : x
  2. Step 2: Convert to fraction form
    186,069/407,601 = 407,601/x
  3. Step 3: Cross multiply
    186,069x = 407,601 × 407,601
  4. Step 4: Simplify right side
    186,069x = 166,138,575,201
  5. Step 5: Solve for x
    x = 166,138,575,201/186,069
  6. Step 6: Final answer
    x = 892,886.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.