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Finding the Third Proportional to 118,406 and 253,606

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Solution

The third proportional to 118,406 and 253,606 is: 543,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,406 : 253,606 = 253,606 : x
  2. Step 2: Convert to fraction form
    118,406/253,606 = 253,606/x
  3. Step 3: Cross multiply
    118,406x = 253,606 × 253,606
  4. Step 4: Simplify right side
    118,406x = 64,316,003,236
  5. Step 5: Solve for x
    x = 64,316,003,236/118,406
  6. Step 6: Final answer
    x = 543,181.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.