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Finding the Third Proportional to 180,136 and 270,300

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Solution

The third proportional to 180,136 and 270,300 is: 405,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,136 : 270,300 = 270,300 : x
  2. Step 2: Convert to fraction form
    180,136/270,300 = 270,300/x
  3. Step 3: Cross multiply
    180,136x = 270,300 × 270,300
  4. Step 4: Simplify right side
    180,136x = 73,062,090,000
  5. Step 5: Solve for x
    x = 73,062,090,000/180,136
  6. Step 6: Final answer
    x = 405,594.05

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