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Finding the Third Proportional to 162,700 and 298,400

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Solution

The third proportional to 162,700 and 298,400 is: 547,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,700 : 298,400 = 298,400 : x
  2. Step 2: Convert to fraction form
    162,700/298,400 = 298,400/x
  3. Step 3: Cross multiply
    162,700x = 298,400 × 298,400
  4. Step 4: Simplify right side
    162,700x = 89,042,560,000
  5. Step 5: Solve for x
    x = 89,042,560,000/162,700
  6. Step 6: Final answer
    x = 547,280.64

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.