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Finding the Third Proportional to 299 and 651.88

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Solution

The third proportional to 299 and 651.88 is: 1,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 651.88 = 651.88 : x
  2. Step 2: Convert to fraction form
    299/651.88 = 651.88/x
  3. Step 3: Cross multiply
    299x = 651.88 × 651.88
  4. Step 4: Simplify right side
    299x = 424,941.02
  5. Step 5: Solve for x
    x = 424,941.02/299
  6. Step 6: Final answer
    x = 1,421.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.