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Finding the Third Proportional to 237,906 and 322,947

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Solution

The third proportional to 237,906 and 322,947 is: 438,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,906 : 322,947 = 322,947 : x
  2. Step 2: Convert to fraction form
    237,906/322,947 = 322,947/x
  3. Step 3: Cross multiply
    237,906x = 322,947 × 322,947
  4. Step 4: Simplify right side
    237,906x = 104,294,764,809
  5. Step 5: Solve for x
    x = 104,294,764,809/237,906
  6. Step 6: Final answer
    x = 438,386.44

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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.