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Finding the Third Proportional to 169,576 and 368,312

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Solution

The third proportional to 169,576 and 368,312 is: 799,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,576 : 368,312 = 368,312 : x
  2. Step 2: Convert to fraction form
    169,576/368,312 = 368,312/x
  3. Step 3: Cross multiply
    169,576x = 368,312 × 368,312
  4. Step 4: Simplify right side
    169,576x = 135,653,729,344
  5. Step 5: Solve for x
    x = 135,653,729,344/169,576
  6. Step 6: Final answer
    x = 799,958.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.