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Finding the Third Proportional to 169,441 and 366,778

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Solution

The third proportional to 169,441 and 366,778 is: 793,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,441 : 366,778 = 366,778 : x
  2. Step 2: Convert to fraction form
    169,441/366,778 = 366,778/x
  3. Step 3: Cross multiply
    169,441x = 366,778 × 366,778
  4. Step 4: Simplify right side
    169,441x = 134,526,101,284
  5. Step 5: Solve for x
    x = 134,526,101,284/169,441
  6. Step 6: Final answer
    x = 793,940.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.