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Finding the Third Proportional to 170,546 and 352,060

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Solution

The third proportional to 170,546 and 352,060 is: 726,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,546 : 352,060 = 352,060 : x
  2. Step 2: Convert to fraction form
    170,546/352,060 = 352,060/x
  3. Step 3: Cross multiply
    170,546x = 352,060 × 352,060
  4. Step 4: Simplify right side
    170,546x = 123,946,243,600
  5. Step 5: Solve for x
    x = 123,946,243,600/170,546
  6. Step 6: Final answer
    x = 726,761.36

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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.