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Finding the Third Proportional to 160,992 and 342,772

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Solution

The third proportional to 160,992 and 342,772 is: 729,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992 : 342,772 = 342,772 : x
  2. Step 2: Convert to fraction form
    160,992/342,772 = 342,772/x
  3. Step 3: Cross multiply
    160,992x = 342,772 × 342,772
  4. Step 4: Simplify right side
    160,992x = 117,492,643,984
  5. Step 5: Solve for x
    x = 117,492,643,984/160,992
  6. Step 6: Final answer
    x = 729,804.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.