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Finding the Third Proportional to 235,144 and 336,122

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Solution

The third proportional to 235,144 and 336,122 is: 480,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,144 : 336,122 = 336,122 : x
  2. Step 2: Convert to fraction form
    235,144/336,122 = 336,122/x
  3. Step 3: Cross multiply
    235,144x = 336,122 × 336,122
  4. Step 4: Simplify right side
    235,144x = 112,977,998,884
  5. Step 5: Solve for x
    x = 112,977,998,884/235,144
  6. Step 6: Final answer
    x = 480,463.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.