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Finding the Third Proportional to 161,057.25 and 343,442.81

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Solution

The third proportional to 161,057.25 and 343,442.81 is: 732,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,057.25 : 343,442.81 = 343,442.81 : x
  2. Step 2: Convert to fraction form
    161,057.25/343,442.81 = 343,442.81/x
  3. Step 3: Cross multiply
    161,057.25x = 343,442.81 × 343,442.81
  4. Step 4: Simplify right side
    161,057.25x = 117,952,965,457.91
  5. Step 5: Solve for x
    x = 117,952,965,457.91/161,057.25
  6. Step 6: Final answer
    x = 732,366.69

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Why These Related Problems?

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