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Finding the Third Proportional to 197,427 and 317,943

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Solution

The third proportional to 197,427 and 317,943 is: 512,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,427 : 317,943 = 317,943 : x
  2. Step 2: Convert to fraction form
    197,427/317,943 = 317,943/x
  3. Step 3: Cross multiply
    197,427x = 317,943 × 317,943
  4. Step 4: Simplify right side
    197,427x = 101,087,751,249
  5. Step 5: Solve for x
    x = 101,087,751,249/197,427
  6. Step 6: Final answer
    x = 512,025.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.