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Finding the Third Proportional to 143,476.31 and 314,229.38

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Solution

The third proportional to 143,476.31 and 314,229.38 is: 688,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,476.31 : 314,229.38 = 314,229.38 : x
  2. Step 2: Convert to fraction form
    143,476.31/314,229.38 = 314,229.38/x
  3. Step 3: Cross multiply
    143,476.31x = 314,229.38 × 314,229.38
  4. Step 4: Simplify right side
    143,476.31x = 98,740,100,112.89
  5. Step 5: Solve for x
    x = 98,740,100,112.89/143,476.31
  6. Step 6: Final answer
    x = 688,197.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.