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Finding the Third Proportional to 164,546 and 245,740

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Solution

The third proportional to 164,546 and 245,740 is: 366,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,546 : 245,740 = 245,740 : x
  2. Step 2: Convert to fraction form
    164,546/245,740 = 245,740/x
  3. Step 3: Cross multiply
    164,546x = 245,740 × 245,740
  4. Step 4: Simplify right side
    164,546x = 60,388,147,600
  5. Step 5: Solve for x
    x = 60,388,147,600/164,546
  6. Step 6: Final answer
    x = 366,998.58

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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.