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Finding the Third Proportional to 175.47 and 323.94

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Solution

The third proportional to 175.47 and 323.94 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.47 : 323.94 = 323.94 : x
  2. Step 2: Convert to fraction form
    175.47/323.94 = 323.94/x
  3. Step 3: Cross multiply
    175.47x = 323.94 × 323.94
  4. Step 4: Simplify right side
    175.47x = 104,935.50
  5. Step 5: Solve for x
    x = 104,935.50/175.47
  6. Step 6: Final answer
    x = 598.03

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.