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Finding the Third Proportional to 164,649 and 248,271

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Solution

The third proportional to 164,649 and 248,271 is: 374,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649 : 248,271 = 248,271 : x
  2. Step 2: Convert to fraction form
    164,649/248,271 = 248,271/x
  3. Step 3: Cross multiply
    164,649x = 248,271 × 248,271
  4. Step 4: Simplify right side
    164,649x = 61,638,489,441
  5. Step 5: Solve for x
    x = 61,638,489,441/164,649
  6. Step 6: Final answer
    x = 374,362.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.