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Finding the Third Proportional to 194,740 and 248,044

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Solution

The third proportional to 194,740 and 248,044 is: 315,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,740 : 248,044 = 248,044 : x
  2. Step 2: Convert to fraction form
    194,740/248,044 = 248,044/x
  3. Step 3: Cross multiply
    194,740x = 248,044 × 248,044
  4. Step 4: Simplify right side
    194,740x = 61,525,825,936
  5. Step 5: Solve for x
    x = 61,525,825,936/194,740
  6. Step 6: Final answer
    x = 315,938.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.