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Finding the Third Proportional to 1,225.69 and 1,708.31

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Solution

The third proportional to 1,225.69 and 1,708.31 is: 2,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.69 : 1,708.31 = 1,708.31 : x
  2. Step 2: Convert to fraction form
    1,225.69/1,708.31 = 1,708.31/x
  3. Step 3: Cross multiply
    1,225.69x = 1,708.31 × 1,708.31
  4. Step 4: Simplify right side
    1,225.69x = 2,918,331.60
  5. Step 5: Solve for x
    x = 2,918,331.60/1,225.69
  6. Step 6: Final answer
    x = 2,380.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.