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Finding the Third Proportional to 176,238 and 367,068

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Solution

The third proportional to 176,238 and 367,068 is: 764,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,238 : 367,068 = 367,068 : x
  2. Step 2: Convert to fraction form
    176,238/367,068 = 367,068/x
  3. Step 3: Cross multiply
    176,238x = 367,068 × 367,068
  4. Step 4: Simplify right side
    176,238x = 134,738,916,624
  5. Step 5: Solve for x
    x = 134,738,916,624/176,238
  6. Step 6: Final answer
    x = 764,528.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.