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Finding the Third Proportional to 176,366 and 264,952

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Solution

The third proportional to 176,366 and 264,952 is: 398,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,366 : 264,952 = 264,952 : x
  2. Step 2: Convert to fraction form
    176,366/264,952 = 264,952/x
  3. Step 3: Cross multiply
    176,366x = 264,952 × 264,952
  4. Step 4: Simplify right side
    176,366x = 70,199,562,304
  5. Step 5: Solve for x
    x = 70,199,562,304/176,366
  6. Step 6: Final answer
    x = 398,033.42

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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.