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Finding the Third Proportional to 274.50 and 416.53

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Solution

The third proportional to 274.50 and 416.53 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 416.53 = 416.53 : x
  2. Step 2: Convert to fraction form
    274.50/416.53 = 416.53/x
  3. Step 3: Cross multiply
    274.50x = 416.53 × 416.53
  4. Step 4: Simplify right side
    274.50x = 173,498.28
  5. Step 5: Solve for x
    x = 173,498.28/274.50
  6. Step 6: Final answer
    x = 632.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.