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Finding the Third Proportional to 139,036 and 305,143

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Solution

The third proportional to 139,036 and 305,143 is: 669,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,036 : 305,143 = 305,143 : x
  2. Step 2: Convert to fraction form
    139,036/305,143 = 305,143/x
  3. Step 3: Cross multiply
    139,036x = 305,143 × 305,143
  4. Step 4: Simplify right side
    139,036x = 93,112,250,449
  5. Step 5: Solve for x
    x = 93,112,250,449/139,036
  6. Step 6: Final answer
    x = 669,698.86

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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.