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Finding the Third Proportional to 166,602 and 264,967

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Solution

The third proportional to 166,602 and 264,967 is: 421,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,602 : 264,967 = 264,967 : x
  2. Step 2: Convert to fraction form
    166,602/264,967 = 264,967/x
  3. Step 3: Cross multiply
    166,602x = 264,967 × 264,967
  4. Step 4: Simplify right side
    166,602x = 70,207,511,089
  5. Step 5: Solve for x
    x = 70,207,511,089/166,602
  6. Step 6: Final answer
    x = 421,408.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.