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Finding the Third Proportional to 176,252.63 and 263,715.75

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Solution

The third proportional to 176,252.63 and 263,715.75 is: 394,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,252.63 : 263,715.75 = 263,715.75 : x
  2. Step 2: Convert to fraction form
    176,252.63/263,715.75 = 263,715.75/x
  3. Step 3: Cross multiply
    176,252.63x = 263,715.75 × 263,715.75
  4. Step 4: Simplify right side
    176,252.63x = 69,545,996,798.06
  5. Step 5: Solve for x
    x = 69,545,996,798.06/176,252.63
  6. Step 6: Final answer
    x = 394,581.34

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