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Finding the Third Proportional to 178,168 and 284,118

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Solution

The third proportional to 178,168 and 284,118 is: 453,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168 : 284,118 = 284,118 : x
  2. Step 2: Convert to fraction form
    178,168/284,118 = 284,118/x
  3. Step 3: Cross multiply
    178,168x = 284,118 × 284,118
  4. Step 4: Simplify right side
    178,168x = 80,723,037,924
  5. Step 5: Solve for x
    x = 80,723,037,924/178,168
  6. Step 6: Final answer
    x = 453,072.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.