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Finding the Third Proportional to 133,605 and 207,796.50

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Solution

The third proportional to 133,605 and 207,796.50 is: 323,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,605 : 207,796.50 = 207,796.50 : x
  2. Step 2: Convert to fraction form
    133,605/207,796.50 = 207,796.50/x
  3. Step 3: Cross multiply
    133,605x = 207,796.50 × 207,796.50
  4. Step 4: Simplify right side
    133,605x = 43,179,385,412.25
  5. Step 5: Solve for x
    x = 43,179,385,412.25/133,605
  6. Step 6: Final answer
    x = 323,186.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.