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Finding the Third Proportional to 235,296 and 508,176

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Solution

The third proportional to 235,296 and 508,176 is: 1,097,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,296 : 508,176 = 508,176 : x
  2. Step 2: Convert to fraction form
    235,296/508,176 = 508,176/x
  3. Step 3: Cross multiply
    235,296x = 508,176 × 508,176
  4. Step 4: Simplify right side
    235,296x = 258,242,846,976
  5. Step 5: Solve for x
    x = 258,242,846,976/235,296
  6. Step 6: Final answer
    x = 1,097,523.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.