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Finding the Third Proportional to 172,837 and 357,671

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Solution

The third proportional to 172,837 and 357,671 is: 740,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,837 : 357,671 = 357,671 : x
  2. Step 2: Convert to fraction form
    172,837/357,671 = 357,671/x
  3. Step 3: Cross multiply
    172,837x = 357,671 × 357,671
  4. Step 4: Simplify right side
    172,837x = 127,928,544,241
  5. Step 5: Solve for x
    x = 127,928,544,241/172,837
  6. Step 6: Final answer
    x = 740,168.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.