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Finding the Third Proportional to 98,928 and 233,296

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Solution

The third proportional to 98,928 and 233,296 is: 550,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,928 : 233,296 = 233,296 : x
  2. Step 2: Convert to fraction form
    98,928/233,296 = 233,296/x
  3. Step 3: Cross multiply
    98,928x = 233,296 × 233,296
  4. Step 4: Simplify right side
    98,928x = 54,427,023,616
  5. Step 5: Solve for x
    x = 54,427,023,616/98,928
  6. Step 6: Final answer
    x = 550,168.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.