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Finding the Third Proportional to 164,640.09 and 248,258.67

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Solution

The third proportional to 164,640.09 and 248,258.67 is: 374,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,640.09 : 248,258.67 = 248,258.67 : x
  2. Step 2: Convert to fraction form
    164,640.09/248,258.67 = 248,258.67/x
  3. Step 3: Cross multiply
    164,640.09x = 248,258.67 × 248,258.67
  4. Step 4: Simplify right side
    164,640.09x = 61,632,368,161.14
  5. Step 5: Solve for x
    x = 61,632,368,161.14/164,640.09
  6. Step 6: Final answer
    x = 374,346.05

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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.