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Finding the Third Proportional to 233.93 and 508.71

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Solution

The third proportional to 233.93 and 508.71 is: 1,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.93 : 508.71 = 508.71 : x
  2. Step 2: Convert to fraction form
    233.93/508.71 = 508.71/x
  3. Step 3: Cross multiply
    233.93x = 508.71 × 508.71
  4. Step 4: Simplify right side
    233.93x = 258,786.82
  5. Step 5: Solve for x
    x = 258,786.82/233.93
  6. Step 6: Final answer
    x = 1,106.26

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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.