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Finding the Third Proportional to 180,837 and 272,894

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Solution

The third proportional to 180,837 and 272,894 is: 411,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,837 : 272,894 = 272,894 : x
  2. Step 2: Convert to fraction form
    180,837/272,894 = 272,894/x
  3. Step 3: Cross multiply
    180,837x = 272,894 × 272,894
  4. Step 4: Simplify right side
    180,837x = 74,471,135,236
  5. Step 5: Solve for x
    x = 74,471,135,236/180,837
  6. Step 6: Final answer
    x = 411,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.