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Finding the Third Proportional to 234.88 and 507.44

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Solution

The third proportional to 234.88 and 507.44 is: 1,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 507.44 = 507.44 : x
  2. Step 2: Convert to fraction form
    234.88/507.44 = 507.44/x
  3. Step 3: Cross multiply
    234.88x = 507.44 × 507.44
  4. Step 4: Simplify right side
    234.88x = 257,492.82
  5. Step 5: Solve for x
    x = 257,492.82/234.88
  6. Step 6: Final answer
    x = 1,096.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.