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Finding the Third Proportional to 197,217 and 431,955

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Solution

The third proportional to 197,217 and 431,955 is: 946,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,217 : 431,955 = 431,955 : x
  2. Step 2: Convert to fraction form
    197,217/431,955 = 431,955/x
  3. Step 3: Cross multiply
    197,217x = 431,955 × 431,955
  4. Step 4: Simplify right side
    197,217x = 186,585,122,025
  5. Step 5: Solve for x
    x = 186,585,122,025/197,217
  6. Step 6: Final answer
    x = 946,090.46

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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.