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Finding the Third Proportional to 278 and 373.06

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Solution

The third proportional to 278 and 373.06 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 373.06 = 373.06 : x
  2. Step 2: Convert to fraction form
    278/373.06 = 373.06/x
  3. Step 3: Cross multiply
    278x = 373.06 × 373.06
  4. Step 4: Simplify right side
    278x = 139,175.63
  5. Step 5: Solve for x
    x = 139,175.63/278
  6. Step 6: Final answer
    x = 500.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.