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Finding the Third Proportional to 206,483.50 and 424,083

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Solution

The third proportional to 206,483.50 and 424,083 is: 870,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.50 : 424,083 = 424,083 : x
  2. Step 2: Convert to fraction form
    206,483.50/424,083 = 424,083/x
  3. Step 3: Cross multiply
    206,483.50x = 424,083 × 424,083
  4. Step 4: Simplify right side
    206,483.50x = 179,846,390,889
  5. Step 5: Solve for x
    x = 179,846,390,889/206,483.50
  6. Step 6: Final answer
    x = 870,996.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.