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Finding the Third Proportional to 665.16 and 1,461.09

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Solution

The third proportional to 665.16 and 1,461.09 is: 3,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 1,461.09 = 1,461.09 : x
  2. Step 2: Convert to fraction form
    665.16/1,461.09 = 1,461.09/x
  3. Step 3: Cross multiply
    665.16x = 1,461.09 × 1,461.09
  4. Step 4: Simplify right side
    665.16x = 2,134,794.95
  5. Step 5: Solve for x
    x = 2,134,794.95/665.16
  6. Step 6: Final answer
    x = 3,209.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.