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Finding the Third Proportional to 161,780 and 346,976

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Solution

The third proportional to 161,780 and 346,976 is: 744,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,780 : 346,976 = 346,976 : x
  2. Step 2: Convert to fraction form
    161,780/346,976 = 346,976/x
  3. Step 3: Cross multiply
    161,780x = 346,976 × 346,976
  4. Step 4: Simplify right side
    161,780x = 120,392,344,576
  5. Step 5: Solve for x
    x = 120,392,344,576/161,780
  6. Step 6: Final answer
    x = 744,173.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.