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Finding the Third Proportional to 314.50 and 651.25

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Solution

The third proportional to 314.50 and 651.25 is: 1,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.50 : 651.25 = 651.25 : x
  2. Step 2: Convert to fraction form
    314.50/651.25 = 651.25/x
  3. Step 3: Cross multiply
    314.50x = 651.25 × 651.25
  4. Step 4: Simplify right side
    314.50x = 424,126.56
  5. Step 5: Solve for x
    x = 424,126.56/314.50
  6. Step 6: Final answer
    x = 1,348.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.