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Finding the Third Proportional to 297.88 and 461.19

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Solution

The third proportional to 297.88 and 461.19 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.88 : 461.19 = 461.19 : x
  2. Step 2: Convert to fraction form
    297.88/461.19 = 461.19/x
  3. Step 3: Cross multiply
    297.88x = 461.19 × 461.19
  4. Step 4: Simplify right side
    297.88x = 212,693.91
  5. Step 5: Solve for x
    x = 212,693.91/297.88
  6. Step 6: Final answer
    x = 714.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.