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Finding the Third Proportional to 185,063.25 and 401,836.88

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Solution

The third proportional to 185,063.25 and 401,836.88 is: 872,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,063.25 : 401,836.88 = 401,836.88 : x
  2. Step 2: Convert to fraction form
    185,063.25/401,836.88 = 401,836.88/x
  3. Step 3: Cross multiply
    185,063.25x = 401,836.88 × 401,836.88
  4. Step 4: Simplify right side
    185,063.25x = 161,472,874,109.77
  5. Step 5: Solve for x
    x = 161,472,874,109.77/185,063.25
  6. Step 6: Final answer
    x = 872,528.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.