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Finding the Third Proportional to 141,318 and 303,108

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Solution

The third proportional to 141,318 and 303,108 is: 650,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,318 : 303,108 = 303,108 : x
  2. Step 2: Convert to fraction form
    141,318/303,108 = 303,108/x
  3. Step 3: Cross multiply
    141,318x = 303,108 × 303,108
  4. Step 4: Simplify right side
    141,318x = 91,874,459,664
  5. Step 5: Solve for x
    x = 91,874,459,664/141,318
  6. Step 6: Final answer
    x = 650,125.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.