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Finding the Third Proportional to 179,436 and 278,635.50

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Solution

The third proportional to 179,436 and 278,635.50 is: 432,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,436 : 278,635.50 = 278,635.50 : x
  2. Step 2: Convert to fraction form
    179,436/278,635.50 = 278,635.50/x
  3. Step 3: Cross multiply
    179,436x = 278,635.50 × 278,635.50
  4. Step 4: Simplify right side
    179,436x = 77,637,741,860.25
  5. Step 5: Solve for x
    x = 77,637,741,860.25/179,436
  6. Step 6: Final answer
    x = 432,676.51

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