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Finding the Third Proportional to 169,252 and 367,640

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Solution

The third proportional to 169,252 and 367,640 is: 798,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,252 : 367,640 = 367,640 : x
  2. Step 2: Convert to fraction form
    169,252/367,640 = 367,640/x
  3. Step 3: Cross multiply
    169,252x = 367,640 × 367,640
  4. Step 4: Simplify right side
    169,252x = 135,159,169,600
  5. Step 5: Solve for x
    x = 135,159,169,600/169,252
  6. Step 6: Final answer
    x = 798,567.64

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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.