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Finding the Third Proportional to 176,002 and 233,381

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Solution

The third proportional to 176,002 and 233,381 is: 309,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002 : 233,381 = 233,381 : x
  2. Step 2: Convert to fraction form
    176,002/233,381 = 233,381/x
  3. Step 3: Cross multiply
    176,002x = 233,381 × 233,381
  4. Step 4: Simplify right side
    176,002x = 54,466,691,161
  5. Step 5: Solve for x
    x = 54,466,691,161/176,002
  6. Step 6: Final answer
    x = 309,466.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.