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Finding the Third Proportional to 149,275.50 and 315,399

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Solution

The third proportional to 149,275.50 and 315,399 is: 666,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275.50 : 315,399 = 315,399 : x
  2. Step 2: Convert to fraction form
    149,275.50/315,399 = 315,399/x
  3. Step 3: Cross multiply
    149,275.50x = 315,399 × 315,399
  4. Step 4: Simplify right side
    149,275.50x = 99,476,529,201
  5. Step 5: Solve for x
    x = 99,476,529,201/149,275.50
  6. Step 6: Final answer
    x = 666,395.55

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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.