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Finding the Third Proportional to 139,169 and 303,610

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Solution

The third proportional to 139,169 and 303,610 is: 662,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,169 : 303,610 = 303,610 : x
  2. Step 2: Convert to fraction form
    139,169/303,610 = 303,610/x
  3. Step 3: Cross multiply
    139,169x = 303,610 × 303,610
  4. Step 4: Simplify right side
    139,169x = 92,179,032,100
  5. Step 5: Solve for x
    x = 92,179,032,100/139,169
  6. Step 6: Final answer
    x = 662,353.20

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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.