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Finding the Third Proportional to 178,429 and 262,715

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Solution

The third proportional to 178,429 and 262,715 is: 386,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,429 : 262,715 = 262,715 : x
  2. Step 2: Convert to fraction form
    178,429/262,715 = 262,715/x
  3. Step 3: Cross multiply
    178,429x = 262,715 × 262,715
  4. Step 4: Simplify right side
    178,429x = 69,019,171,225
  5. Step 5: Solve for x
    x = 69,019,171,225/178,429
  6. Step 6: Final answer
    x = 386,815.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.