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Finding the Third Proportional to 169,388 and 368,302

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Solution

The third proportional to 169,388 and 368,302 is: 800,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,388 : 368,302 = 368,302 : x
  2. Step 2: Convert to fraction form
    169,388/368,302 = 368,302/x
  3. Step 3: Cross multiply
    169,388x = 368,302 × 368,302
  4. Step 4: Simplify right side
    169,388x = 135,646,363,204
  5. Step 5: Solve for x
    x = 135,646,363,204/169,388
  6. Step 6: Final answer
    x = 800,802.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.