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Finding the Third Proportional to 182,089 and 371,405

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Solution

The third proportional to 182,089 and 371,405 is: 757,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,089 : 371,405 = 371,405 : x
  2. Step 2: Convert to fraction form
    182,089/371,405 = 371,405/x
  3. Step 3: Cross multiply
    182,089x = 371,405 × 371,405
  4. Step 4: Simplify right side
    182,089x = 137,941,674,025
  5. Step 5: Solve for x
    x = 137,941,674,025/182,089
  6. Step 6: Final answer
    x = 757,550.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.