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Finding the Third Proportional to 176,506 and 269,375

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Solution

The third proportional to 176,506 and 269,375 is: 411,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,506 : 269,375 = 269,375 : x
  2. Step 2: Convert to fraction form
    176,506/269,375 = 269,375/x
  3. Step 3: Cross multiply
    176,506x = 269,375 × 269,375
  4. Step 4: Simplify right side
    176,506x = 72,562,890,625
  5. Step 5: Solve for x
    x = 72,562,890,625/176,506
  6. Step 6: Final answer
    x = 411,107.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.