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Finding the Third Proportional to 169,614 and 368,388

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Solution

The third proportional to 169,614 and 368,388 is: 800,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,614 : 368,388 = 368,388 : x
  2. Step 2: Convert to fraction form
    169,614/368,388 = 368,388/x
  3. Step 3: Cross multiply
    169,614x = 368,388 × 368,388
  4. Step 4: Simplify right side
    169,614x = 135,709,718,544
  5. Step 5: Solve for x
    x = 135,709,718,544/169,614
  6. Step 6: Final answer
    x = 800,109.18

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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.