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Finding the Third Proportional to 182,272.78 and 284,925.09

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Solution

The third proportional to 182,272.78 and 284,925.09 is: 445,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,272.78 : 284,925.09 = 284,925.09 : x
  2. Step 2: Convert to fraction form
    182,272.78/284,925.09 = 284,925.09/x
  3. Step 3: Cross multiply
    182,272.78x = 284,925.09 × 284,925.09
  4. Step 4: Simplify right side
    182,272.78x = 81,182,309,048.45
  5. Step 5: Solve for x
    x = 81,182,309,048.45/182,272.78
  6. Step 6: Final answer
    x = 445,389.09

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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.