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Finding the Third Proportional to 114,523.88 and 178,329.38

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Solution

The third proportional to 114,523.88 and 178,329.38 is: 277,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,523.88 : 178,329.38 = 178,329.38 : x
  2. Step 2: Convert to fraction form
    114,523.88/178,329.38 = 178,329.38/x
  3. Step 3: Cross multiply
    114,523.88x = 178,329.38 × 178,329.38
  4. Step 4: Simplify right side
    114,523.88x = 31,801,365,987.89
  5. Step 5: Solve for x
    x = 31,801,365,987.89/114,523.88
  6. Step 6: Final answer
    x = 277,683.29

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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.