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Finding the Third Proportional to 182,760 and 284,076

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Solution

The third proportional to 182,760 and 284,076 is: 441,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,760 : 284,076 = 284,076 : x
  2. Step 2: Convert to fraction form
    182,760/284,076 = 284,076/x
  3. Step 3: Cross multiply
    182,760x = 284,076 × 284,076
  4. Step 4: Simplify right side
    182,760x = 80,699,173,776
  5. Step 5: Solve for x
    x = 80,699,173,776/182,760
  6. Step 6: Final answer
    x = 441,558.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.