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Finding the Third Proportional to 703.69 and 1,167.19

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Solution

The third proportional to 703.69 and 1,167.19 is: 1,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,167.19 = 1,167.19 : x
  2. Step 2: Convert to fraction form
    703.69/1,167.19 = 1,167.19/x
  3. Step 3: Cross multiply
    703.69x = 1,167.19 × 1,167.19
  4. Step 4: Simplify right side
    703.69x = 1,362,326.66
  5. Step 5: Solve for x
    x = 1,362,326.66/703.69
  6. Step 6: Final answer
    x = 1,935.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.