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Finding the Third Proportional to 176,057 and 263,409

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Solution

The third proportional to 176,057 and 263,409 is: 394,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,057 : 263,409 = 263,409 : x
  2. Step 2: Convert to fraction form
    176,057/263,409 = 263,409/x
  3. Step 3: Cross multiply
    176,057x = 263,409 × 263,409
  4. Step 4: Simplify right side
    176,057x = 69,384,301,281
  5. Step 5: Solve for x
    x = 69,384,301,281/176,057
  6. Step 6: Final answer
    x = 394,101.35

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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.