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Finding the Third Proportional to 147,344 and 321,676

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Solution

The third proportional to 147,344 and 321,676 is: 702,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,344 : 321,676 = 321,676 : x
  2. Step 2: Convert to fraction form
    147,344/321,676 = 321,676/x
  3. Step 3: Cross multiply
    147,344x = 321,676 × 321,676
  4. Step 4: Simplify right side
    147,344x = 103,475,448,976
  5. Step 5: Solve for x
    x = 103,475,448,976/147,344
  6. Step 6: Final answer
    x = 702,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.