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Finding the Third Proportional to 133,020 and 200,907

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Solution

The third proportional to 133,020 and 200,907 is: 303,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020 : 200,907 = 200,907 : x
  2. Step 2: Convert to fraction form
    133,020/200,907 = 200,907/x
  3. Step 3: Cross multiply
    133,020x = 200,907 × 200,907
  4. Step 4: Simplify right side
    133,020x = 40,363,622,649
  5. Step 5: Solve for x
    x = 40,363,622,649/133,020
  6. Step 6: Final answer
    x = 303,440.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.