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Finding the Third Proportional to 182,277 and 284,932.13

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Solution

The third proportional to 182,277 and 284,932.13 is: 445,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,277 : 284,932.13 = 284,932.13 : x
  2. Step 2: Convert to fraction form
    182,277/284,932.13 = 284,932.13/x
  3. Step 3: Cross multiply
    182,277x = 284,932.13 × 284,932.13
  4. Step 4: Simplify right side
    182,277x = 81,186,315,857.02
  5. Step 5: Solve for x
    x = 81,186,315,857.02/182,277
  6. Step 6: Final answer
    x = 445,400.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.