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Finding the Third Proportional to 176,396 and 273,868

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Solution

The third proportional to 176,396 and 273,868 is: 425,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,396 : 273,868 = 273,868 : x
  2. Step 2: Convert to fraction form
    176,396/273,868 = 273,868/x
  3. Step 3: Cross multiply
    176,396x = 273,868 × 273,868
  4. Step 4: Simplify right side
    176,396x = 75,003,681,424
  5. Step 5: Solve for x
    x = 75,003,681,424/176,396
  6. Step 6: Final answer
    x = 425,200.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.