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Finding the Third Proportional to 219.38 and 507.94

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Solution

The third proportional to 219.38 and 507.94 is: 1,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 507.94 = 507.94 : x
  2. Step 2: Convert to fraction form
    219.38/507.94 = 507.94/x
  3. Step 3: Cross multiply
    219.38x = 507.94 × 507.94
  4. Step 4: Simplify right side
    219.38x = 258,000.50
  5. Step 5: Solve for x
    x = 258,000.50/219.38
  6. Step 6: Final answer
    x = 1,176.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.