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Finding the Third Proportional to 286.03 and 661.08

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Solution

The third proportional to 286.03 and 661.08 is: 1,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.03 : 661.08 = 661.08 : x
  2. Step 2: Convert to fraction form
    286.03/661.08 = 661.08/x
  3. Step 3: Cross multiply
    286.03x = 661.08 × 661.08
  4. Step 4: Simplify right side
    286.03x = 437,024.29
  5. Step 5: Solve for x
    x = 437,024.29/286.03
  6. Step 6: Final answer
    x = 1,527.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.