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Finding the Third Proportional to 230.34 and 507.52

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Solution

The third proportional to 230.34 and 507.52 is: 1,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 507.52 = 507.52 : x
  2. Step 2: Convert to fraction form
    230.34/507.52 = 507.52/x
  3. Step 3: Cross multiply
    230.34x = 507.52 × 507.52
  4. Step 4: Simplify right side
    230.34x = 257,572.11
  5. Step 5: Solve for x
    x = 257,572.11/230.34
  6. Step 6: Final answer
    x = 1,118.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.