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Finding the Third Proportional to 182,022.19 and 284,914.97

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Solution

The third proportional to 182,022.19 and 284,914.97 is: 445,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,022.19 : 284,914.97 = 284,914.97 : x
  2. Step 2: Convert to fraction form
    182,022.19/284,914.97 = 284,914.97/x
  3. Step 3: Cross multiply
    182,022.19x = 284,914.97 × 284,914.97
  4. Step 4: Simplify right side
    182,022.19x = 81,176,539,417.81
  5. Step 5: Solve for x
    x = 81,176,539,417.81/182,022.19
  6. Step 6: Final answer
    x = 445,970.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.