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Finding the Third Proportional to 139,150 and 303,140

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Solution

The third proportional to 139,150 and 303,140 is: 660,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,150 : 303,140 = 303,140 : x
  2. Step 2: Convert to fraction form
    139,150/303,140 = 303,140/x
  3. Step 3: Cross multiply
    139,150x = 303,140 × 303,140
  4. Step 4: Simplify right side
    139,150x = 91,893,859,600
  5. Step 5: Solve for x
    x = 91,893,859,600/139,150
  6. Step 6: Final answer
    x = 660,394.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.