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Finding the Third Proportional to 172,629 and 369,246

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Solution

The third proportional to 172,629 and 369,246 is: 789,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,629 : 369,246 = 369,246 : x
  2. Step 2: Convert to fraction form
    172,629/369,246 = 369,246/x
  3. Step 3: Cross multiply
    172,629x = 369,246 × 369,246
  4. Step 4: Simplify right side
    172,629x = 136,342,608,516
  5. Step 5: Solve for x
    x = 136,342,608,516/172,629
  6. Step 6: Final answer
    x = 789,801.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.