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Finding the Third Proportional to 169,838 and 367,348

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Solution

The third proportional to 169,838 and 367,348 is: 794,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,838 : 367,348 = 367,348 : x
  2. Step 2: Convert to fraction form
    169,838/367,348 = 367,348/x
  3. Step 3: Cross multiply
    169,838x = 367,348 × 367,348
  4. Step 4: Simplify right side
    169,838x = 134,944,553,104
  5. Step 5: Solve for x
    x = 134,944,553,104/169,838
  6. Step 6: Final answer
    x = 794,548.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.