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Finding the Third Proportional to 197,157 and 430,800

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Solution

The third proportional to 197,157 and 430,800 is: 941,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,157 : 430,800 = 430,800 : x
  2. Step 2: Convert to fraction form
    197,157/430,800 = 430,800/x
  3. Step 3: Cross multiply
    197,157x = 430,800 × 430,800
  4. Step 4: Simplify right side
    197,157x = 185,588,640,000
  5. Step 5: Solve for x
    x = 185,588,640,000/197,157
  6. Step 6: Final answer
    x = 941,324.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.