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Finding the Third Proportional to 140,141.25 and 329,004

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Solution

The third proportional to 140,141.25 and 329,004 is: 772,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,141.25 : 329,004 = 329,004 : x
  2. Step 2: Convert to fraction form
    140,141.25/329,004 = 329,004/x
  3. Step 3: Cross multiply
    140,141.25x = 329,004 × 329,004
  4. Step 4: Simplify right side
    140,141.25x = 108,243,632,016
  5. Step 5: Solve for x
    x = 108,243,632,016/140,141.25
  6. Step 6: Final answer
    x = 772,389.51

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.