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Finding the Third Proportional to 197,408 and 313,968

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Solution

The third proportional to 197,408 and 313,968 is: 499,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,408 : 313,968 = 313,968 : x
  2. Step 2: Convert to fraction form
    197,408/313,968 = 313,968/x
  3. Step 3: Cross multiply
    197,408x = 313,968 × 313,968
  4. Step 4: Simplify right side
    197,408x = 98,575,905,024
  5. Step 5: Solve for x
    x = 98,575,905,024/197,408
  6. Step 6: Final answer
    x = 499,351.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.