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Finding the Third Proportional to 160,970 and 349,622

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Solution

The third proportional to 160,970 and 349,622 is: 759,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970 : 349,622 = 349,622 : x
  2. Step 2: Convert to fraction form
    160,970/349,622 = 349,622/x
  3. Step 3: Cross multiply
    160,970x = 349,622 × 349,622
  4. Step 4: Simplify right side
    160,970x = 122,235,542,884
  5. Step 5: Solve for x
    x = 122,235,542,884/160,970
  6. Step 6: Final answer
    x = 759,368.47

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Why These Related Problems?

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