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Finding the Third Proportional to 139,518 and 305,116

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Solution

The third proportional to 139,518 and 305,116 is: 667,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,518 : 305,116 = 305,116 : x
  2. Step 2: Convert to fraction form
    139,518/305,116 = 305,116/x
  3. Step 3: Cross multiply
    139,518x = 305,116 × 305,116
  4. Step 4: Simplify right side
    139,518x = 93,095,773,456
  5. Step 5: Solve for x
    x = 93,095,773,456/139,518
  6. Step 6: Final answer
    x = 667,267.12

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Why These Related Problems?

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