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Finding the Third Proportional to 959.06 and 1,158.19

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Solution

The third proportional to 959.06 and 1,158.19 is: 1,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.06 : 1,158.19 = 1,158.19 : x
  2. Step 2: Convert to fraction form
    959.06/1,158.19 = 1,158.19/x
  3. Step 3: Cross multiply
    959.06x = 1,158.19 × 1,158.19
  4. Step 4: Simplify right side
    959.06x = 1,341,398.29
  5. Step 5: Solve for x
    x = 1,341,398.29/959.06
  6. Step 6: Final answer
    x = 1,398.66

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.