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Finding the Third Proportional to 169,288 and 364,064

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Solution

The third proportional to 169,288 and 364,064 is: 782,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,288 : 364,064 = 364,064 : x
  2. Step 2: Convert to fraction form
    169,288/364,064 = 364,064/x
  3. Step 3: Cross multiply
    169,288x = 364,064 × 364,064
  4. Step 4: Simplify right side
    169,288x = 132,542,596,096
  5. Step 5: Solve for x
    x = 132,542,596,096/169,288
  6. Step 6: Final answer
    x = 782,941.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.