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Finding the Third Proportional to 174,293 and 377,892

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Solution

The third proportional to 174,293 and 377,892 is: 819,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,293 : 377,892 = 377,892 : x
  2. Step 2: Convert to fraction form
    174,293/377,892 = 377,892/x
  3. Step 3: Cross multiply
    174,293x = 377,892 × 377,892
  4. Step 4: Simplify right side
    174,293x = 142,802,363,664
  5. Step 5: Solve for x
    x = 142,802,363,664/174,293
  6. Step 6: Final answer
    x = 819,323.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.