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Finding the Third Proportional to 176,992 and 370,400

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Solution

The third proportional to 176,992 and 370,400 is: 775,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,992 : 370,400 = 370,400 : x
  2. Step 2: Convert to fraction form
    176,992/370,400 = 370,400/x
  3. Step 3: Cross multiply
    176,992x = 370,400 × 370,400
  4. Step 4: Simplify right side
    176,992x = 137,196,160,000
  5. Step 5: Solve for x
    x = 137,196,160,000/176,992
  6. Step 6: Final answer
    x = 775,154.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.