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Finding the Third Proportional to 182,025 and 284,920

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Solution

The third proportional to 182,025 and 284,920 is: 445,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,025 : 284,920 = 284,920 : x
  2. Step 2: Convert to fraction form
    182,025/284,920 = 284,920/x
  3. Step 3: Cross multiply
    182,025x = 284,920 × 284,920
  4. Step 4: Simplify right side
    182,025x = 81,179,406,400
  5. Step 5: Solve for x
    x = 81,179,406,400/182,025
  6. Step 6: Final answer
    x = 445,979.43

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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.