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Finding the Third Proportional to 155,968 and 341,622

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Solution

The third proportional to 155,968 and 341,622 is: 748,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,968 : 341,622 = 341,622 : x
  2. Step 2: Convert to fraction form
    155,968/341,622 = 341,622/x
  3. Step 3: Cross multiply
    155,968x = 341,622 × 341,622
  4. Step 4: Simplify right side
    155,968x = 116,705,590,884
  5. Step 5: Solve for x
    x = 116,705,590,884/155,968
  6. Step 6: Final answer
    x = 748,266.25

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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.