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Finding the Third Proportional to 155,760 and 341,004

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Solution

The third proportional to 155,760 and 341,004 is: 746,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,760 : 341,004 = 341,004 : x
  2. Step 2: Convert to fraction form
    155,760/341,004 = 341,004/x
  3. Step 3: Cross multiply
    155,760x = 341,004 × 341,004
  4. Step 4: Simplify right side
    155,760x = 116,283,728,016
  5. Step 5: Solve for x
    x = 116,283,728,016/155,760
  6. Step 6: Final answer
    x = 746,557.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.