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Finding the Third Proportional to 157,530 and 341,300

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Solution

The third proportional to 157,530 and 341,300 is: 739,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,530 : 341,300 = 341,300 : x
  2. Step 2: Convert to fraction form
    157,530/341,300 = 341,300/x
  3. Step 3: Cross multiply
    157,530x = 341,300 × 341,300
  4. Step 4: Simplify right side
    157,530x = 116,485,690,000
  5. Step 5: Solve for x
    x = 116,485,690,000/157,530
  6. Step 6: Final answer
    x = 739,450.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.