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Finding the Third Proportional to 237,919 and 322,968

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Solution

The third proportional to 237,919 and 322,968 is: 438,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,919 : 322,968 = 322,968 : x
  2. Step 2: Convert to fraction form
    237,919/322,968 = 322,968/x
  3. Step 3: Cross multiply
    237,919x = 322,968 × 322,968
  4. Step 4: Simplify right side
    237,919x = 104,308,329,024
  5. Step 5: Solve for x
    x = 104,308,329,024/237,919
  6. Step 6: Final answer
    x = 438,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.