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Finding the Third Proportional to 151,196 and 331,120

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Solution

The third proportional to 151,196 and 331,120 is: 725,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,196 : 331,120 = 331,120 : x
  2. Step 2: Convert to fraction form
    151,196/331,120 = 331,120/x
  3. Step 3: Cross multiply
    151,196x = 331,120 × 331,120
  4. Step 4: Simplify right side
    151,196x = 109,640,454,400
  5. Step 5: Solve for x
    x = 109,640,454,400/151,196
  6. Step 6: Final answer
    x = 725,154.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.