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Finding the Third Proportional to 119,873.25 and 251,228.25

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Solution

The third proportional to 119,873.25 and 251,228.25 is: 526,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,873.25 : 251,228.25 = 251,228.25 : x
  2. Step 2: Convert to fraction form
    119,873.25/251,228.25 = 251,228.25/x
  3. Step 3: Cross multiply
    119,873.25x = 251,228.25 × 251,228.25
  4. Step 4: Simplify right side
    119,873.25x = 63,115,633,598.06
  5. Step 5: Solve for x
    x = 63,115,633,598.06/119,873.25
  6. Step 6: Final answer
    x = 526,519.75

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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.