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Finding the Third Proportional to 753.88 and 1,167.19

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Solution

The third proportional to 753.88 and 1,167.19 is: 1,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.88 : 1,167.19 = 1,167.19 : x
  2. Step 2: Convert to fraction form
    753.88/1,167.19 = 1,167.19/x
  3. Step 3: Cross multiply
    753.88x = 1,167.19 × 1,167.19
  4. Step 4: Simplify right side
    753.88x = 1,362,326.66
  5. Step 5: Solve for x
    x = 1,362,326.66/753.88
  6. Step 6: Final answer
    x = 1,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.