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Finding the Third Proportional to 182,090 and 371,408

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Solution

The third proportional to 182,090 and 371,408 is: 757,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,090 : 371,408 = 371,408 : x
  2. Step 2: Convert to fraction form
    182,090/371,408 = 371,408/x
  3. Step 3: Cross multiply
    182,090x = 371,408 × 371,408
  4. Step 4: Simplify right side
    182,090x = 137,943,902,464
  5. Step 5: Solve for x
    x = 137,943,902,464/182,090
  6. Step 6: Final answer
    x = 757,558.91

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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.