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Finding the Third Proportional to 189,408 and 385,344

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Solution

The third proportional to 189,408 and 385,344 is: 783,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,408 : 385,344 = 385,344 : x
  2. Step 2: Convert to fraction form
    189,408/385,344 = 385,344/x
  3. Step 3: Cross multiply
    189,408x = 385,344 × 385,344
  4. Step 4: Simplify right side
    189,408x = 148,489,998,336
  5. Step 5: Solve for x
    x = 148,489,998,336/189,408
  6. Step 6: Final answer
    x = 783,968.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.