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Finding the Third Proportional to 162,704 and 298,408

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Solution

The third proportional to 162,704 and 298,408 is: 547,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,704 : 298,408 = 298,408 : x
  2. Step 2: Convert to fraction form
    162,704/298,408 = 298,408/x
  3. Step 3: Cross multiply
    162,704x = 298,408 × 298,408
  4. Step 4: Simplify right side
    162,704x = 89,047,334,464
  5. Step 5: Solve for x
    x = 89,047,334,464/162,704
  6. Step 6: Final answer
    x = 547,296.53

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.