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Finding the Third Proportional to 297.19 and 455.91

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Solution

The third proportional to 297.19 and 455.91 is: 699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.19 : 455.91 = 455.91 : x
  2. Step 2: Convert to fraction form
    297.19/455.91 = 455.91/x
  3. Step 3: Cross multiply
    297.19x = 455.91 × 455.91
  4. Step 4: Simplify right side
    297.19x = 207,850.51
  5. Step 5: Solve for x
    x = 207,850.51/297.19
  6. Step 6: Final answer
    x = 699.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.