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Finding the Third Proportional to 233,376 and 349,992

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Solution

The third proportional to 233,376 and 349,992 is: 524,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,376 : 349,992 = 349,992 : x
  2. Step 2: Convert to fraction form
    233,376/349,992 = 349,992/x
  3. Step 3: Cross multiply
    233,376x = 349,992 × 349,992
  4. Step 4: Simplify right side
    233,376x = 122,494,400,064
  5. Step 5: Solve for x
    x = 122,494,400,064/233,376
  6. Step 6: Final answer
    x = 524,880.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.