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Finding the Third Proportional to 304.13 and 461.06

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Solution

The third proportional to 304.13 and 461.06 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 461.06 = 461.06 : x
  2. Step 2: Convert to fraction form
    304.13/461.06 = 461.06/x
  3. Step 3: Cross multiply
    304.13x = 461.06 × 461.06
  4. Step 4: Simplify right side
    304.13x = 212,578.63
  5. Step 5: Solve for x
    x = 212,578.63/304.13
  6. Step 6: Final answer
    x = 698.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.