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Finding the Third Proportional to 165,052 and 246,961

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Solution

The third proportional to 165,052 and 246,961 is: 369,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,052 : 246,961 = 246,961 : x
  2. Step 2: Convert to fraction form
    165,052/246,961 = 246,961/x
  3. Step 3: Cross multiply
    165,052x = 246,961 × 246,961
  4. Step 4: Simplify right side
    165,052x = 60,989,735,521
  5. Step 5: Solve for x
    x = 60,989,735,521/165,052
  6. Step 6: Final answer
    x = 369,518.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.