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Finding the Third Proportional to 505.69 and 1,162.13

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Solution

The third proportional to 505.69 and 1,162.13 is: 2,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 1,162.13 = 1,162.13 : x
  2. Step 2: Convert to fraction form
    505.69/1,162.13 = 1,162.13/x
  3. Step 3: Cross multiply
    505.69x = 1,162.13 × 1,162.13
  4. Step 4: Simplify right side
    505.69x = 1,350,534.52
  5. Step 5: Solve for x
    x = 1,350,534.52/505.69
  6. Step 6: Final answer
    x = 2,670.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.