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Finding the Third Proportional to 139,470.75 and 304,861.50

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Solution

The third proportional to 139,470.75 and 304,861.50 is: 666,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.75 : 304,861.50 = 304,861.50 : x
  2. Step 2: Convert to fraction form
    139,470.75/304,861.50 = 304,861.50/x
  3. Step 3: Cross multiply
    139,470.75x = 304,861.50 × 304,861.50
  4. Step 4: Simplify right side
    139,470.75x = 92,940,534,182.25
  5. Step 5: Solve for x
    x = 92,940,534,182.25/139,470.75
  6. Step 6: Final answer
    x = 666,380.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.