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Finding the Third Proportional to 164,556 and 246,400

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Solution

The third proportional to 164,556 and 246,400 is: 368,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,556 : 246,400 = 246,400 : x
  2. Step 2: Convert to fraction form
    164,556/246,400 = 246,400/x
  3. Step 3: Cross multiply
    164,556x = 246,400 × 246,400
  4. Step 4: Simplify right side
    164,556x = 60,712,960,000
  5. Step 5: Solve for x
    x = 60,712,960,000/164,556
  6. Step 6: Final answer
    x = 368,950.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.