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Finding the Third Proportional to 175.47 and 265.41

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Solution

The third proportional to 175.47 and 265.41 is: 401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.47 : 265.41 = 265.41 : x
  2. Step 2: Convert to fraction form
    175.47/265.41 = 265.41/x
  3. Step 3: Cross multiply
    175.47x = 265.41 × 265.41
  4. Step 4: Simplify right side
    175.47x = 70,440.48
  5. Step 5: Solve for x
    x = 70,440.48/175.47
  6. Step 6: Final answer
    x = 401.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.