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Finding the Third Proportional to 114,950 and 178,438

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Solution

The third proportional to 114,950 and 178,438 is: 276,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,950 : 178,438 = 178,438 : x
  2. Step 2: Convert to fraction form
    114,950/178,438 = 178,438/x
  3. Step 3: Cross multiply
    114,950x = 178,438 × 178,438
  4. Step 4: Simplify right side
    114,950x = 31,840,119,844
  5. Step 5: Solve for x
    x = 31,840,119,844/114,950
  6. Step 6: Final answer
    x = 276,991.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.