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Finding the Third Proportional to 161,230.50 and 241,817.27

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Solution

The third proportional to 161,230.50 and 241,817.27 is: 362,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,230.50 : 241,817.27 = 241,817.27 : x
  2. Step 2: Convert to fraction form
    161,230.50/241,817.27 = 241,817.27/x
  3. Step 3: Cross multiply
    161,230.50x = 241,817.27 × 241,817.27
  4. Step 4: Simplify right side
    161,230.50x = 58,475,593,732.75
  5. Step 5: Solve for x
    x = 58,475,593,732.75/161,230.50
  6. Step 6: Final answer
    x = 362,683.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.