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Finding the Third Proportional to 164,646 and 262,062

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Solution

The third proportional to 164,646 and 262,062 is: 417,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,646 : 262,062 = 262,062 : x
  2. Step 2: Convert to fraction form
    164,646/262,062 = 262,062/x
  3. Step 3: Cross multiply
    164,646x = 262,062 × 262,062
  4. Step 4: Simplify right side
    164,646x = 68,676,491,844
  5. Step 5: Solve for x
    x = 68,676,491,844/164,646
  6. Step 6: Final answer
    x = 417,116.07

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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.