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Finding the Third Proportional to 169,202 and 367,564

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Solution

The third proportional to 169,202 and 367,564 is: 798,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,202 : 367,564 = 367,564 : x
  2. Step 2: Convert to fraction form
    169,202/367,564 = 367,564/x
  3. Step 3: Cross multiply
    169,202x = 367,564 × 367,564
  4. Step 4: Simplify right side
    169,202x = 135,103,294,096
  5. Step 5: Solve for x
    x = 135,103,294,096/169,202
  6. Step 6: Final answer
    x = 798,473.39

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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.