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Finding the Third Proportional to 161,700.75 and 340,157.25

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Solution

The third proportional to 161,700.75 and 340,157.25 is: 715,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,700.75 : 340,157.25 = 340,157.25 : x
  2. Step 2: Convert to fraction form
    161,700.75/340,157.25 = 340,157.25/x
  3. Step 3: Cross multiply
    161,700.75x = 340,157.25 × 340,157.25
  4. Step 4: Simplify right side
    161,700.75x = 115,706,954,727.56
  5. Step 5: Solve for x
    x = 115,706,954,727.56/161,700.75
  6. Step 6: Final answer
    x = 715,562.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.