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Finding the Third Proportional to 114,529 and 178,338

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Solution

The third proportional to 114,529 and 178,338 is: 277,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,529 : 178,338 = 178,338 : x
  2. Step 2: Convert to fraction form
    114,529/178,338 = 178,338/x
  3. Step 3: Cross multiply
    114,529x = 178,338 × 178,338
  4. Step 4: Simplify right side
    114,529x = 31,804,442,244
  5. Step 5: Solve for x
    x = 31,804,442,244/114,529
  6. Step 6: Final answer
    x = 277,697.72

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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.