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Finding the Third Proportional to 146,709.25 and 309,180.25

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Solution

The third proportional to 146,709.25 and 309,180.25 is: 651,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,709.25 : 309,180.25 = 309,180.25 : x
  2. Step 2: Convert to fraction form
    146,709.25/309,180.25 = 309,180.25/x
  3. Step 3: Cross multiply
    146,709.25x = 309,180.25 × 309,180.25
  4. Step 4: Simplify right side
    146,709.25x = 95,592,426,990.06
  5. Step 5: Solve for x
    x = 95,592,426,990.06/146,709.25
  6. Step 6: Final answer
    x = 651,577.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.