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Finding the Third Proportional to 185,500.13 and 397,244.25

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Solution

The third proportional to 185,500.13 and 397,244.25 is: 850,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,500.13 : 397,244.25 = 397,244.25 : x
  2. Step 2: Convert to fraction form
    185,500.13/397,244.25 = 397,244.25/x
  3. Step 3: Cross multiply
    185,500.13x = 397,244.25 × 397,244.25
  4. Step 4: Simplify right side
    185,500.13x = 157,802,994,158.06
  5. Step 5: Solve for x
    x = 157,802,994,158.06/185,500.13
  6. Step 6: Final answer
    x = 850,689.42

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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.