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Finding the Third Proportional to 234,560 and 512,134

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Solution

The third proportional to 234,560 and 512,134 is: 1,118,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,560 : 512,134 = 512,134 : x
  2. Step 2: Convert to fraction form
    234,560/512,134 = 512,134/x
  3. Step 3: Cross multiply
    234,560x = 512,134 × 512,134
  4. Step 4: Simplify right side
    234,560x = 262,281,233,956
  5. Step 5: Solve for x
    x = 262,281,233,956/234,560
  6. Step 6: Final answer
    x = 1,118,183.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.