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Finding the Third Proportional to 143,541.28 and 309,018.38

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Solution

The third proportional to 143,541.28 and 309,018.38 is: 665,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,541.28 : 309,018.38 = 309,018.38 : x
  2. Step 2: Convert to fraction form
    143,541.28/309,018.38 = 309,018.38/x
  3. Step 3: Cross multiply
    143,541.28x = 309,018.38 × 309,018.38
  4. Step 4: Simplify right side
    143,541.28x = 95,492,356,087.64
  5. Step 5: Solve for x
    x = 95,492,356,087.64/143,541.28
  6. Step 6: Final answer
    x = 665,260.58

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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.