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Finding the Third Proportional to 169,796 and 364,648

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Solution

The third proportional to 169,796 and 364,648 is: 783,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796 : 364,648 = 364,648 : x
  2. Step 2: Convert to fraction form
    169,796/364,648 = 364,648/x
  3. Step 3: Cross multiply
    169,796x = 364,648 × 364,648
  4. Step 4: Simplify right side
    169,796x = 132,968,163,904
  5. Step 5: Solve for x
    x = 132,968,163,904/169,796
  6. Step 6: Final answer
    x = 783,105.40

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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.