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Finding the Third Proportional to 161,124 and 345,584

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Solution

The third proportional to 161,124 and 345,584 is: 741,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,124 : 345,584 = 345,584 : x
  2. Step 2: Convert to fraction form
    161,124/345,584 = 345,584/x
  3. Step 3: Cross multiply
    161,124x = 345,584 × 345,584
  4. Step 4: Simplify right side
    161,124x = 119,428,301,056
  5. Step 5: Solve for x
    x = 119,428,301,056/161,124
  6. Step 6: Final answer
    x = 741,219.81

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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.