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Finding the Third Proportional to 298.50 and 461.06

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Solution

The third proportional to 298.50 and 461.06 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 461.06 = 461.06 : x
  2. Step 2: Convert to fraction form
    298.50/461.06 = 461.06/x
  3. Step 3: Cross multiply
    298.50x = 461.06 × 461.06
  4. Step 4: Simplify right side
    298.50x = 212,578.63
  5. Step 5: Solve for x
    x = 212,578.63/298.50
  6. Step 6: Final answer
    x = 712.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.