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Finding the Third Proportional to 206,994 and 303,673.50

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Solution

The third proportional to 206,994 and 303,673.50 is: 445,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,994 : 303,673.50 = 303,673.50 : x
  2. Step 2: Convert to fraction form
    206,994/303,673.50 = 303,673.50/x
  3. Step 3: Cross multiply
    206,994x = 303,673.50 × 303,673.50
  4. Step 4: Simplify right side
    206,994x = 92,217,594,602.25
  5. Step 5: Solve for x
    x = 92,217,594,602.25/206,994
  6. Step 6: Final answer
    x = 445,508.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.