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Finding the Third Proportional to 197,100 and 304,400.25

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Solution

The third proportional to 197,100 and 304,400.25 is: 470,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,100 : 304,400.25 = 304,400.25 : x
  2. Step 2: Convert to fraction form
    197,100/304,400.25 = 304,400.25/x
  3. Step 3: Cross multiply
    197,100x = 304,400.25 × 304,400.25
  4. Step 4: Simplify right side
    197,100x = 92,659,512,200.06
  5. Step 5: Solve for x
    x = 92,659,512,200.06/197,100
  6. Step 6: Final answer
    x = 470,114.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.