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Finding the Third Proportional to 133,040 and 200,943

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Solution

The third proportional to 133,040 and 200,943 is: 303,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 200,943 = 200,943 : x
  2. Step 2: Convert to fraction form
    133,040/200,943 = 200,943/x
  3. Step 3: Cross multiply
    133,040x = 200,943 × 200,943
  4. Step 4: Simplify right side
    133,040x = 40,378,089,249
  5. Step 5: Solve for x
    x = 40,378,089,249/133,040
  6. Step 6: Final answer
    x = 303,503.38

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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.