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Finding the Third Proportional to 182,040 and 284,940

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Solution

The third proportional to 182,040 and 284,940 is: 446,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,040 : 284,940 = 284,940 : x
  2. Step 2: Convert to fraction form
    182,040/284,940 = 284,940/x
  3. Step 3: Cross multiply
    182,040x = 284,940 × 284,940
  4. Step 4: Simplify right side
    182,040x = 81,190,803,600
  5. Step 5: Solve for x
    x = 81,190,803,600/182,040
  6. Step 6: Final answer
    x = 446,005.29

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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.