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Finding the Third Proportional to 170,544 and 352,056

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Solution

The third proportional to 170,544 and 352,056 is: 726,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,544 : 352,056 = 352,056 : x
  2. Step 2: Convert to fraction form
    170,544/352,056 = 352,056/x
  3. Step 3: Cross multiply
    170,544x = 352,056 × 352,056
  4. Step 4: Simplify right side
    170,544x = 123,943,427,136
  5. Step 5: Solve for x
    x = 123,943,427,136/170,544
  6. Step 6: Final answer
    x = 726,753.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.