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Finding the Third Proportional to 164,122 and 356,255

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Solution

The third proportional to 164,122 and 356,255 is: 773,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,122 : 356,255 = 356,255 : x
  2. Step 2: Convert to fraction form
    164,122/356,255 = 356,255/x
  3. Step 3: Cross multiply
    164,122x = 356,255 × 356,255
  4. Step 4: Simplify right side
    164,122x = 126,917,625,025
  5. Step 5: Solve for x
    x = 126,917,625,025/164,122
  6. Step 6: Final answer
    x = 773,312.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.