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Finding the Third Proportional to 232.13 and 507.19

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Solution

The third proportional to 232.13 and 507.19 is: 1,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 507.19 = 507.19 : x
  2. Step 2: Convert to fraction form
    232.13/507.19 = 507.19/x
  3. Step 3: Cross multiply
    232.13x = 507.19 × 507.19
  4. Step 4: Simplify right side
    232.13x = 257,239.16
  5. Step 5: Solve for x
    x = 257,239.16/232.13
  6. Step 6: Final answer
    x = 1,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.