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Finding the Third Proportional to 182,136 and 271,336.50

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Solution

The third proportional to 182,136 and 271,336.50 is: 404,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,136 : 271,336.50 = 271,336.50 : x
  2. Step 2: Convert to fraction form
    182,136/271,336.50 = 271,336.50/x
  3. Step 3: Cross multiply
    182,136x = 271,336.50 × 271,336.50
  4. Step 4: Simplify right side
    182,136x = 73,623,496,232.25
  5. Step 5: Solve for x
    x = 73,623,496,232.25/182,136
  6. Step 6: Final answer
    x = 404,222.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.