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Finding the Third Proportional to 151,212 and 235,188

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Solution

The third proportional to 151,212 and 235,188 is: 365,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,212 : 235,188 = 235,188 : x
  2. Step 2: Convert to fraction form
    151,212/235,188 = 235,188/x
  3. Step 3: Cross multiply
    151,212x = 235,188 × 235,188
  4. Step 4: Simplify right side
    151,212x = 55,313,395,344
  5. Step 5: Solve for x
    x = 55,313,395,344/151,212
  6. Step 6: Final answer
    x = 365,800.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.