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Finding the Third Proportional to 169,596 and 368,348

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Solution

The third proportional to 169,596 and 368,348 is: 800,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,596 : 368,348 = 368,348 : x
  2. Step 2: Convert to fraction form
    169,596/368,348 = 368,348/x
  3. Step 3: Cross multiply
    169,596x = 368,348 × 368,348
  4. Step 4: Simplify right side
    169,596x = 135,680,249,104
  5. Step 5: Solve for x
    x = 135,680,249,104/169,596
  6. Step 6: Final answer
    x = 800,020.34

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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.