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Finding the Third Proportional to 157,059 and 341,766

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Solution

The third proportional to 157,059 and 341,766 is: 743,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059 : 341,766 = 341,766 : x
  2. Step 2: Convert to fraction form
    157,059/341,766 = 341,766/x
  3. Step 3: Cross multiply
    157,059x = 341,766 × 341,766
  4. Step 4: Simplify right side
    157,059x = 116,803,998,756
  5. Step 5: Solve for x
    x = 116,803,998,756/157,059
  6. Step 6: Final answer
    x = 743,695.04

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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.