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Finding the Third Proportional to 133,973 and 207,351

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Solution

The third proportional to 133,973 and 207,351 is: 320,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,973 : 207,351 = 207,351 : x
  2. Step 2: Convert to fraction form
    133,973/207,351 = 207,351/x
  3. Step 3: Cross multiply
    133,973x = 207,351 × 207,351
  4. Step 4: Simplify right side
    133,973x = 42,994,437,201
  5. Step 5: Solve for x
    x = 42,994,437,201/133,973
  6. Step 6: Final answer
    x = 320,918.67

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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.