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Finding the Third Proportional to 119,620 and 251,634

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Solution

The third proportional to 119,620 and 251,634 is: 529,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,620 : 251,634 = 251,634 : x
  2. Step 2: Convert to fraction form
    119,620/251,634 = 251,634/x
  3. Step 3: Cross multiply
    119,620x = 251,634 × 251,634
  4. Step 4: Simplify right side
    119,620x = 63,319,669,956
  5. Step 5: Solve for x
    x = 63,319,669,956/119,620
  6. Step 6: Final answer
    x = 529,340.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.