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Finding the Third Proportional to 161,451.56 and 351,966.94

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Solution

The third proportional to 161,451.56 and 351,966.94 is: 767,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,451.56 : 351,966.94 = 351,966.94 : x
  2. Step 2: Convert to fraction form
    161,451.56/351,966.94 = 351,966.94/x
  3. Step 3: Cross multiply
    161,451.56x = 351,966.94 × 351,966.94
  4. Step 4: Simplify right side
    161,451.56x = 123,880,725,093.13
  5. Step 5: Solve for x
    x = 123,880,725,093.13/161,451.56
  6. Step 6: Final answer
    x = 767,293.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.