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Finding the Third Proportional to 179,292 and 263,754

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Solution

The third proportional to 179,292 and 263,754 is: 388,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,292 : 263,754 = 263,754 : x
  2. Step 2: Convert to fraction form
    179,292/263,754 = 263,754/x
  3. Step 3: Cross multiply
    179,292x = 263,754 × 263,754
  4. Step 4: Simplify right side
    179,292x = 69,566,172,516
  5. Step 5: Solve for x
    x = 69,566,172,516/179,292
  6. Step 6: Final answer
    x = 388,004.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.