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Finding the Third Proportional to 197,256 and 433,800

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Solution

The third proportional to 197,256 and 433,800 is: 954,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,256 : 433,800 = 433,800 : x
  2. Step 2: Convert to fraction form
    197,256/433,800 = 433,800/x
  3. Step 3: Cross multiply
    197,256x = 433,800 × 433,800
  4. Step 4: Simplify right side
    197,256x = 188,182,440,000
  5. Step 5: Solve for x
    x = 188,182,440,000/197,256
  6. Step 6: Final answer
    x = 954,001.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.