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Finding the Third Proportional to 161,217.84 and 351,405

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Solution

The third proportional to 161,217.84 and 351,405 is: 765,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,217.84 : 351,405 = 351,405 : x
  2. Step 2: Convert to fraction form
    161,217.84/351,405 = 351,405/x
  3. Step 3: Cross multiply
    161,217.84x = 351,405 × 351,405
  4. Step 4: Simplify right side
    161,217.84x = 123,485,474,025
  5. Step 5: Solve for x
    x = 123,485,474,025/161,217.84
  6. Step 6: Final answer
    x = 765,954.13

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Why These Related Problems?

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