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Finding the Third Proportional to 312.53 and 455.94

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Solution

The third proportional to 312.53 and 455.94 is: 665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 455.94 = 455.94 : x
  2. Step 2: Convert to fraction form
    312.53/455.94 = 455.94/x
  3. Step 3: Cross multiply
    312.53x = 455.94 × 455.94
  4. Step 4: Simplify right side
    312.53x = 207,882.57
  5. Step 5: Solve for x
    x = 207,882.57/312.53
  6. Step 6: Final answer
    x = 665.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.