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Finding the Third Proportional to 209,324 and 303,772

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Solution

The third proportional to 209,324 and 303,772 is: 440,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324 : 303,772 = 303,772 : x
  2. Step 2: Convert to fraction form
    209,324/303,772 = 303,772/x
  3. Step 3: Cross multiply
    209,324x = 303,772 × 303,772
  4. Step 4: Simplify right side
    209,324x = 92,277,427,984
  5. Step 5: Solve for x
    x = 92,277,427,984/209,324
  6. Step 6: Final answer
    x = 440,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.