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Finding the Third Proportional to 164,967 and 353,262

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Solution

The third proportional to 164,967 and 353,262 is: 756,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,967 : 353,262 = 353,262 : x
  2. Step 2: Convert to fraction form
    164,967/353,262 = 353,262/x
  3. Step 3: Cross multiply
    164,967x = 353,262 × 353,262
  4. Step 4: Simplify right side
    164,967x = 124,794,040,644
  5. Step 5: Solve for x
    x = 124,794,040,644/164,967
  6. Step 6: Final answer
    x = 756,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.