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Finding the Third Proportional to 164,647.69 and 248,268.38

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Solution

The third proportional to 164,647.69 and 248,268.38 is: 374,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647.69 : 248,268.38 = 248,268.38 : x
  2. Step 2: Convert to fraction form
    164,647.69/248,268.38 = 248,268.38/x
  3. Step 3: Cross multiply
    164,647.69x = 248,268.38 × 248,268.38
  4. Step 4: Simplify right side
    164,647.69x = 61,637,186,025.14
  5. Step 5: Solve for x
    x = 61,637,186,025.14/164,647.69
  6. Step 6: Final answer
    x = 374,358.04

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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.