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Finding the Third Proportional to 149,871.38 and 313,598.25

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Solution

The third proportional to 149,871.38 and 313,598.25 is: 656,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.38 : 313,598.25 = 313,598.25 : x
  2. Step 2: Convert to fraction form
    149,871.38/313,598.25 = 313,598.25/x
  3. Step 3: Cross multiply
    149,871.38x = 313,598.25 × 313,598.25
  4. Step 4: Simplify right side
    149,871.38x = 98,343,862,403.06
  5. Step 5: Solve for x
    x = 98,343,862,403.06/149,871.38
  6. Step 6: Final answer
    x = 656,188.43

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.