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Finding the Third Proportional to 233,234 and 368,734

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Solution

The third proportional to 233,234 and 368,734 is: 582,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,234 : 368,734 = 368,734 : x
  2. Step 2: Convert to fraction form
    233,234/368,734 = 368,734/x
  3. Step 3: Cross multiply
    233,234x = 368,734 × 368,734
  4. Step 4: Simplify right side
    233,234x = 135,964,762,756
  5. Step 5: Solve for x
    x = 135,964,762,756/233,234
  6. Step 6: Final answer
    x = 582,954.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.