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Finding the Third Proportional to 182,026 and 284,921

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Solution

The third proportional to 182,026 and 284,921 is: 445,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,026 : 284,921 = 284,921 : x
  2. Step 2: Convert to fraction form
    182,026/284,921 = 284,921/x
  3. Step 3: Cross multiply
    182,026x = 284,921 × 284,921
  4. Step 4: Simplify right side
    182,026x = 81,179,976,241
  5. Step 5: Solve for x
    x = 81,179,976,241/182,026
  6. Step 6: Final answer
    x = 445,980.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.