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Finding the Third Proportional to 169,016 and 359,576

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Solution

The third proportional to 169,016 and 359,576 is: 764,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,016 : 359,576 = 359,576 : x
  2. Step 2: Convert to fraction form
    169,016/359,576 = 359,576/x
  3. Step 3: Cross multiply
    169,016x = 359,576 × 359,576
  4. Step 4: Simplify right side
    169,016x = 129,294,899,776
  5. Step 5: Solve for x
    x = 129,294,899,776/169,016
  6. Step 6: Final answer
    x = 764,986.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.