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Finding the Third Proportional to 234,135 and 496,134

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Solution

The third proportional to 234,135 and 496,134 is: 1,051,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,135 : 496,134 = 496,134 : x
  2. Step 2: Convert to fraction form
    234,135/496,134 = 496,134/x
  3. Step 3: Cross multiply
    234,135x = 496,134 × 496,134
  4. Step 4: Simplify right side
    234,135x = 246,148,945,956
  5. Step 5: Solve for x
    x = 246,148,945,956/234,135
  6. Step 6: Final answer
    x = 1,051,312.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.