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Finding the Third Proportional to 182,080 and 281,312

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Solution

The third proportional to 182,080 and 281,312 is: 434,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,080 : 281,312 = 281,312 : x
  2. Step 2: Convert to fraction form
    182,080/281,312 = 281,312/x
  3. Step 3: Cross multiply
    182,080x = 281,312 × 281,312
  4. Step 4: Simplify right side
    182,080x = 79,136,441,344
  5. Step 5: Solve for x
    x = 79,136,441,344/182,080
  6. Step 6: Final answer
    x = 434,624.57

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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.