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Finding the Third Proportional to 182,968.50 and 285,519

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Solution

The third proportional to 182,968.50 and 285,519 is: 445,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,968.50 : 285,519 = 285,519 : x
  2. Step 2: Convert to fraction form
    182,968.50/285,519 = 285,519/x
  3. Step 3: Cross multiply
    182,968.50x = 285,519 × 285,519
  4. Step 4: Simplify right side
    182,968.50x = 81,521,099,361
  5. Step 5: Solve for x
    x = 81,521,099,361/182,968.50
  6. Step 6: Final answer
    x = 445,547.18

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