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Finding the Third Proportional to 147,619.50 and 314,571

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Solution

The third proportional to 147,619.50 and 314,571 is: 670,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,619.50 : 314,571 = 314,571 : x
  2. Step 2: Convert to fraction form
    147,619.50/314,571 = 314,571/x
  3. Step 3: Cross multiply
    147,619.50x = 314,571 × 314,571
  4. Step 4: Simplify right side
    147,619.50x = 98,954,914,041
  5. Step 5: Solve for x
    x = 98,954,914,041/147,619.50
  6. Step 6: Final answer
    x = 670,337.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.