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Finding the Third Proportional to 203.50 and 507.38

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Solution

The third proportional to 203.50 and 507.38 is: 1,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 507.38 = 507.38 : x
  2. Step 2: Convert to fraction form
    203.50/507.38 = 507.38/x
  3. Step 3: Cross multiply
    203.50x = 507.38 × 507.38
  4. Step 4: Simplify right side
    203.50x = 257,429.39
  5. Step 5: Solve for x
    x = 257,429.39/203.50
  6. Step 6: Final answer
    x = 1,265.01

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.