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Finding the Third Proportional to 140,677.25 and 325,388.25

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Solution

The third proportional to 140,677.25 and 325,388.25 is: 752,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,677.25 : 325,388.25 = 325,388.25 : x
  2. Step 2: Convert to fraction form
    140,677.25/325,388.25 = 325,388.25/x
  3. Step 3: Cross multiply
    140,677.25x = 325,388.25 × 325,388.25
  4. Step 4: Simplify right side
    140,677.25x = 105,877,513,238.06
  5. Step 5: Solve for x
    x = 105,877,513,238.06/140,677.25
  6. Step 6: Final answer
    x = 752,627.12

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.