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Finding the Third Proportional to 182,527 and 281,296

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Solution

The third proportional to 182,527 and 281,296 is: 433,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,527 : 281,296 = 281,296 : x
  2. Step 2: Convert to fraction form
    182,527/281,296 = 281,296/x
  3. Step 3: Cross multiply
    182,527x = 281,296 × 281,296
  4. Step 4: Simplify right side
    182,527x = 79,127,439,616
  5. Step 5: Solve for x
    x = 79,127,439,616/182,527
  6. Step 6: Final answer
    x = 433,510.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.