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Finding the Third Proportional to 169,404 and 248,450

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Solution

The third proportional to 169,404 and 248,450 is: 364,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,404 : 248,450 = 248,450 : x
  2. Step 2: Convert to fraction form
    169,404/248,450 = 248,450/x
  3. Step 3: Cross multiply
    169,404x = 248,450 × 248,450
  4. Step 4: Simplify right side
    169,404x = 61,727,402,500
  5. Step 5: Solve for x
    x = 61,727,402,500/169,404
  6. Step 6: Final answer
    x = 364,379.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.