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Finding the Third Proportional to 312.50 and 382.50

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Solution

The third proportional to 312.50 and 382.50 is: 468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 382.50 = 382.50 : x
  2. Step 2: Convert to fraction form
    312.50/382.50 = 382.50/x
  3. Step 3: Cross multiply
    312.50x = 382.50 × 382.50
  4. Step 4: Simplify right side
    312.50x = 146,306.25
  5. Step 5: Solve for x
    x = 146,306.25/312.50
  6. Step 6: Final answer
    x = 468.18

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.