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Finding the Third Proportional to 215,043 and 341,631

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Solution

The third proportional to 215,043 and 341,631 is: 542,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,043 : 341,631 = 341,631 : x
  2. Step 2: Convert to fraction form
    215,043/341,631 = 341,631/x
  3. Step 3: Cross multiply
    215,043x = 341,631 × 341,631
  4. Step 4: Simplify right side
    215,043x = 116,711,740,161
  5. Step 5: Solve for x
    x = 116,711,740,161/215,043
  6. Step 6: Final answer
    x = 542,736.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.