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Finding the Third Proportional to 278.50 and 398.50

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Solution

The third proportional to 278.50 and 398.50 is: 570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 398.50 = 398.50 : x
  2. Step 2: Convert to fraction form
    278.50/398.50 = 398.50/x
  3. Step 3: Cross multiply
    278.50x = 398.50 × 398.50
  4. Step 4: Simplify right side
    278.50x = 158,802.25
  5. Step 5: Solve for x
    x = 158,802.25/278.50
  6. Step 6: Final answer
    x = 570.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.