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Finding the Third Proportional to 133,884 and 207,307.50

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Solution

The third proportional to 133,884 and 207,307.50 is: 320,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,884 : 207,307.50 = 207,307.50 : x
  2. Step 2: Convert to fraction form
    133,884/207,307.50 = 207,307.50/x
  3. Step 3: Cross multiply
    133,884x = 207,307.50 × 207,307.50
  4. Step 4: Simplify right side
    133,884x = 42,976,399,556.25
  5. Step 5: Solve for x
    x = 42,976,399,556.25/133,884
  6. Step 6: Final answer
    x = 320,997.28

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