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Finding the Third Proportional to 164,641 and 248,260

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Solution

The third proportional to 164,641 and 248,260 is: 374,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,641 : 248,260 = 248,260 : x
  2. Step 2: Convert to fraction form
    164,641/248,260 = 248,260/x
  3. Step 3: Cross multiply
    164,641x = 248,260 × 248,260
  4. Step 4: Simplify right side
    164,641x = 61,633,027,600
  5. Step 5: Solve for x
    x = 61,633,027,600/164,641
  6. Step 6: Final answer
    x = 374,347.99

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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.