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Finding the Third Proportional to 114,515.65 and 178,317.39

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Solution

The third proportional to 114,515.65 and 178,317.39 is: 277,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,515.65 : 178,317.39 = 178,317.39 : x
  2. Step 2: Convert to fraction form
    114,515.65/178,317.39 = 178,317.39/x
  3. Step 3: Cross multiply
    114,515.65x = 178,317.39 × 178,317.39
  4. Step 4: Simplify right side
    114,515.65x = 31,797,090,406.20
  5. Step 5: Solve for x
    x = 31,797,090,406.20/114,515.65
  6. Step 6: Final answer
    x = 277,665.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.