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Finding the Third Proportional to 235,137 and 336,114

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Solution

The third proportional to 235,137 and 336,114 is: 480,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,137 : 336,114 = 336,114 : x
  2. Step 2: Convert to fraction form
    235,137/336,114 = 336,114/x
  3. Step 3: Cross multiply
    235,137x = 336,114 × 336,114
  4. Step 4: Simplify right side
    235,137x = 112,972,620,996
  5. Step 5: Solve for x
    x = 112,972,620,996/235,137
  6. Step 6: Final answer
    x = 480,454.46

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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.