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Finding the Third Proportional to 176,058 and 263,412

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Solution

The third proportional to 176,058 and 263,412 is: 394,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,058 : 263,412 = 263,412 : x
  2. Step 2: Convert to fraction form
    176,058/263,412 = 263,412/x
  3. Step 3: Cross multiply
    176,058x = 263,412 × 263,412
  4. Step 4: Simplify right side
    176,058x = 69,385,881,744
  5. Step 5: Solve for x
    x = 69,385,881,744/176,058
  6. Step 6: Final answer
    x = 394,108.09

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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.