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Finding the Third Proportional to 185,400 and 397,044

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Solution

The third proportional to 185,400 and 397,044 is: 850,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,400 : 397,044 = 397,044 : x
  2. Step 2: Convert to fraction form
    185,400/397,044 = 397,044/x
  3. Step 3: Cross multiply
    185,400x = 397,044 × 397,044
  4. Step 4: Simplify right side
    185,400x = 157,643,937,936
  5. Step 5: Solve for x
    x = 157,643,937,936/185,400
  6. Step 6: Final answer
    x = 850,290.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.