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Finding the Third Proportional to 175,634 and 414,137

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Solution

The third proportional to 175,634 and 414,137 is: 976,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,634 : 414,137 = 414,137 : x
  2. Step 2: Convert to fraction form
    175,634/414,137 = 414,137/x
  3. Step 3: Cross multiply
    175,634x = 414,137 × 414,137
  4. Step 4: Simplify right side
    175,634x = 171,509,454,769
  5. Step 5: Solve for x
    x = 171,509,454,769/175,634
  6. Step 6: Final answer
    x = 976,516.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.