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Finding the Third Proportional to 234,081 and 359,876

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Solution

The third proportional to 234,081 and 359,876 is: 553,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,081 : 359,876 = 359,876 : x
  2. Step 2: Convert to fraction form
    234,081/359,876 = 359,876/x
  3. Step 3: Cross multiply
    234,081x = 359,876 × 359,876
  4. Step 4: Simplify right side
    234,081x = 129,510,735,376
  5. Step 5: Solve for x
    x = 129,510,735,376/234,081
  6. Step 6: Final answer
    x = 553,273.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.