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Finding the Third Proportional to 174,909 and 370,837

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Solution

The third proportional to 174,909 and 370,837 is: 786,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,909 : 370,837 = 370,837 : x
  2. Step 2: Convert to fraction form
    174,909/370,837 = 370,837/x
  3. Step 3: Cross multiply
    174,909x = 370,837 × 370,837
  4. Step 4: Simplify right side
    174,909x = 137,520,080,569
  5. Step 5: Solve for x
    x = 137,520,080,569/174,909
  6. Step 6: Final answer
    x = 786,237.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.