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Finding the Third Proportional to 164,920 and 248,908

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Solution

The third proportional to 164,920 and 248,908 is: 375,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,920 : 248,908 = 248,908 : x
  2. Step 2: Convert to fraction form
    164,920/248,908 = 248,908/x
  3. Step 3: Cross multiply
    164,920x = 248,908 × 248,908
  4. Step 4: Simplify right side
    164,920x = 61,955,192,464
  5. Step 5: Solve for x
    x = 61,955,192,464/164,920
  6. Step 6: Final answer
    x = 375,668.16

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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.