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Finding the Third Proportional to 169,119 and 364,401

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Solution

The third proportional to 169,119 and 364,401 is: 785,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,119 : 364,401 = 364,401 : x
  2. Step 2: Convert to fraction form
    169,119/364,401 = 364,401/x
  3. Step 3: Cross multiply
    169,119x = 364,401 × 364,401
  4. Step 4: Simplify right side
    169,119x = 132,788,088,801
  5. Step 5: Solve for x
    x = 132,788,088,801/169,119
  6. Step 6: Final answer
    x = 785,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.