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Finding the Third Proportional to 149,136 and 223,824

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Solution

The third proportional to 149,136 and 223,824 is: 335,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136 : 223,824 = 223,824 : x
  2. Step 2: Convert to fraction form
    149,136/223,824 = 223,824/x
  3. Step 3: Cross multiply
    149,136x = 223,824 × 223,824
  4. Step 4: Simplify right side
    149,136x = 50,097,182,976
  5. Step 5: Solve for x
    x = 50,097,182,976/149,136
  6. Step 6: Final answer
    x = 335,916.10

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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.