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Finding the Third Proportional to 114.69 and 293.47

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Solution

The third proportional to 114.69 and 293.47 is: 750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 293.47 = 293.47 : x
  2. Step 2: Convert to fraction form
    114.69/293.47 = 293.47/x
  3. Step 3: Cross multiply
    114.69x = 293.47 × 293.47
  4. Step 4: Simplify right side
    114.69x = 86,123.91
  5. Step 5: Solve for x
    x = 86,123.91/114.69
  6. Step 6: Final answer
    x = 750.94

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.