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Finding the Third Proportional to 233.31 and 507.13

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Solution

The third proportional to 233.31 and 507.13 is: 1,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.31 : 507.13 = 507.13 : x
  2. Step 2: Convert to fraction form
    233.31/507.13 = 507.13/x
  3. Step 3: Cross multiply
    233.31x = 507.13 × 507.13
  4. Step 4: Simplify right side
    233.31x = 257,175.77
  5. Step 5: Solve for x
    x = 257,175.77/233.31
  6. Step 6: Final answer
    x = 1,102.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.