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Finding the Third Proportional to 164,287.75 and 248,623.75

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Solution

The third proportional to 164,287.75 and 248,623.75 is: 376,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,287.75 : 248,623.75 = 248,623.75 : x
  2. Step 2: Convert to fraction form
    164,287.75/248,623.75 = 248,623.75/x
  3. Step 3: Cross multiply
    164,287.75x = 248,623.75 × 248,623.75
  4. Step 4: Simplify right side
    164,287.75x = 61,813,769,064.06
  5. Step 5: Solve for x
    x = 61,813,769,064.06/164,287.75
  6. Step 6: Final answer
    x = 376,253.06

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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.