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Finding the Third Proportional to 119,861 and 251,203.50

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Solution

The third proportional to 119,861 and 251,203.50 is: 526,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,861 : 251,203.50 = 251,203.50 : x
  2. Step 2: Convert to fraction form
    119,861/251,203.50 = 251,203.50/x
  3. Step 3: Cross multiply
    119,861x = 251,203.50 × 251,203.50
  4. Step 4: Simplify right side
    119,861x = 63,103,198,412.25
  5. Step 5: Solve for x
    x = 63,103,198,412.25/119,861
  6. Step 6: Final answer
    x = 526,469.81

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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.