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Finding the Third Proportional to 133,881 and 207,303

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Solution

The third proportional to 133,881 and 207,303 is: 320,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,881 : 207,303 = 207,303 : x
  2. Step 2: Convert to fraction form
    133,881/207,303 = 207,303/x
  3. Step 3: Cross multiply
    133,881x = 207,303 × 207,303
  4. Step 4: Simplify right side
    133,881x = 42,974,533,809
  5. Step 5: Solve for x
    x = 42,974,533,809/133,881
  6. Step 6: Final answer
    x = 320,990.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.