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Finding the Third Proportional to 164,660 and 245,907

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Solution

The third proportional to 164,660 and 245,907 is: 367,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,660 : 245,907 = 245,907 : x
  2. Step 2: Convert to fraction form
    164,660/245,907 = 245,907/x
  3. Step 3: Cross multiply
    164,660x = 245,907 × 245,907
  4. Step 4: Simplify right side
    164,660x = 60,470,252,649
  5. Step 5: Solve for x
    x = 60,470,252,649/164,660
  6. Step 6: Final answer
    x = 367,243.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.