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Finding the Third Proportional to 84,580.50 and 182,382

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Solution

The third proportional to 84,580.50 and 182,382 is: 393,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580.50 : 182,382 = 182,382 : x
  2. Step 2: Convert to fraction form
    84,580.50/182,382 = 182,382/x
  3. Step 3: Cross multiply
    84,580.50x = 182,382 × 182,382
  4. Step 4: Simplify right side
    84,580.50x = 33,263,193,924
  5. Step 5: Solve for x
    x = 33,263,193,924/84,580.50
  6. Step 6: Final answer
    x = 393,272.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.