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Finding the Third Proportional to 908.81 and 1,109.06

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Solution

The third proportional to 908.81 and 1,109.06 is: 1,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.81 : 1,109.06 = 1,109.06 : x
  2. Step 2: Convert to fraction form
    908.81/1,109.06 = 1,109.06/x
  3. Step 3: Cross multiply
    908.81x = 1,109.06 × 1,109.06
  4. Step 4: Simplify right side
    908.81x = 1,230,019.63
  5. Step 5: Solve for x
    x = 1,230,019.63/908.81
  6. Step 6: Final answer
    x = 1,353.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.