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Finding the Third Proportional to 239.63 and 507.38

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Solution

The third proportional to 239.63 and 507.38 is: 1,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.63 : 507.38 = 507.38 : x
  2. Step 2: Convert to fraction form
    239.63/507.38 = 507.38/x
  3. Step 3: Cross multiply
    239.63x = 507.38 × 507.38
  4. Step 4: Simplify right side
    239.63x = 257,429.39
  5. Step 5: Solve for x
    x = 257,429.39/239.63
  6. Step 6: Final answer
    x = 1,074.30

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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.