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Finding the Third Proportional to 172,396 and 371,036

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Solution

The third proportional to 172,396 and 371,036 is: 798,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,396 : 371,036 = 371,036 : x
  2. Step 2: Convert to fraction form
    172,396/371,036 = 371,036/x
  3. Step 3: Cross multiply
    172,396x = 371,036 × 371,036
  4. Step 4: Simplify right side
    172,396x = 137,667,713,296
  5. Step 5: Solve for x
    x = 137,667,713,296/172,396
  6. Step 6: Final answer
    x = 798,555.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.