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Finding the Third Proportional to 140,867.25 and 211,260

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Solution

The third proportional to 140,867.25 and 211,260 is: 316,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,867.25 : 211,260 = 211,260 : x
  2. Step 2: Convert to fraction form
    140,867.25/211,260 = 211,260/x
  3. Step 3: Cross multiply
    140,867.25x = 211,260 × 211,260
  4. Step 4: Simplify right side
    140,867.25x = 44,630,787,600
  5. Step 5: Solve for x
    x = 44,630,787,600/140,867.25
  6. Step 6: Final answer
    x = 316,828.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.