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Finding the Third Proportional to 164,122 and 353,356

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Solution

The third proportional to 164,122 and 353,356 is: 760,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,122 : 353,356 = 353,356 : x
  2. Step 2: Convert to fraction form
    164,122/353,356 = 353,356/x
  3. Step 3: Cross multiply
    164,122x = 353,356 × 353,356
  4. Step 4: Simplify right side
    164,122x = 124,860,462,736
  5. Step 5: Solve for x
    x = 124,860,462,736/164,122
  6. Step 6: Final answer
    x = 760,778.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.