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Finding the Third Proportional to 160,238.25 and 346,173.75

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Solution

The third proportional to 160,238.25 and 346,173.75 is: 747,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,238.25 : 346,173.75 = 346,173.75 : x
  2. Step 2: Convert to fraction form
    160,238.25/346,173.75 = 346,173.75/x
  3. Step 3: Cross multiply
    160,238.25x = 346,173.75 × 346,173.75
  4. Step 4: Simplify right side
    160,238.25x = 119,836,265,189.06
  5. Step 5: Solve for x
    x = 119,836,265,189.06/160,238.25
  6. Step 6: Final answer
    x = 747,863.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.