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Finding the Third Proportional to 82,032.75 and 176,276.25

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Solution

The third proportional to 82,032.75 and 176,276.25 is: 378,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032.75 : 176,276.25 = 176,276.25 : x
  2. Step 2: Convert to fraction form
    82,032.75/176,276.25 = 176,276.25/x
  3. Step 3: Cross multiply
    82,032.75x = 176,276.25 × 176,276.25
  4. Step 4: Simplify right side
    82,032.75x = 31,073,316,314.06
  5. Step 5: Solve for x
    x = 31,073,316,314.06/82,032.75
  6. Step 6: Final answer
    x = 378,791.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.