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Finding the Third Proportional to 161,149.13 and 341,507.44

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Solution

The third proportional to 161,149.13 and 341,507.44 is: 723,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,149.13 : 341,507.44 = 341,507.44 : x
  2. Step 2: Convert to fraction form
    161,149.13/341,507.44 = 341,507.44/x
  3. Step 3: Cross multiply
    161,149.13x = 341,507.44 × 341,507.44
  4. Step 4: Simplify right side
    161,149.13x = 116,627,329,867.82
  5. Step 5: Solve for x
    x = 116,627,329,867.82/161,149.13
  6. Step 6: Final answer
    x = 723,723.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.