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Finding the Third Proportional to 278.12 and 599.91

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Solution

The third proportional to 278.12 and 599.91 is: 1,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 599.91 = 599.91 : x
  2. Step 2: Convert to fraction form
    278.12/599.91 = 599.91/x
  3. Step 3: Cross multiply
    278.12x = 599.91 × 599.91
  4. Step 4: Simplify right side
    278.12x = 359,887.51
  5. Step 5: Solve for x
    x = 359,887.51/278.12
  6. Step 6: Final answer
    x = 1,294.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.