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Finding the Third Proportional to 133,744.50 and 207,758.25

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Solution

The third proportional to 133,744.50 and 207,758.25 is: 322,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,744.50 : 207,758.25 = 207,758.25 : x
  2. Step 2: Convert to fraction form
    133,744.50/207,758.25 = 207,758.25/x
  3. Step 3: Cross multiply
    133,744.50x = 207,758.25 × 207,758.25
  4. Step 4: Simplify right side
    133,744.50x = 43,163,490,443.06
  5. Step 5: Solve for x
    x = 43,163,490,443.06/133,744.50
  6. Step 6: Final answer
    x = 322,730.96

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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.