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Finding the Third Proportional to 170,964 and 374,436

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Solution

The third proportional to 170,964 and 374,436 is: 820,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,964 : 374,436 = 374,436 : x
  2. Step 2: Convert to fraction form
    170,964/374,436 = 374,436/x
  3. Step 3: Cross multiply
    170,964x = 374,436 × 374,436
  4. Step 4: Simplify right side
    170,964x = 140,202,318,096
  5. Step 5: Solve for x
    x = 140,202,318,096/170,964
  6. Step 6: Final answer
    x = 820,069.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.