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Finding the Third Proportional to 178,427 and 260,938

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Solution

The third proportional to 178,427 and 260,938 is: 381,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,427 : 260,938 = 260,938 : x
  2. Step 2: Convert to fraction form
    178,427/260,938 = 260,938/x
  3. Step 3: Cross multiply
    178,427x = 260,938 × 260,938
  4. Step 4: Simplify right side
    178,427x = 68,088,639,844
  5. Step 5: Solve for x
    x = 68,088,639,844/178,427
  6. Step 6: Final answer
    x = 381,605.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.