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Finding the Third Proportional to 140,257.50 and 197,282.25

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Solution

The third proportional to 140,257.50 and 197,282.25 is: 277,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,257.50 : 197,282.25 = 197,282.25 : x
  2. Step 2: Convert to fraction form
    140,257.50/197,282.25 = 197,282.25/x
  3. Step 3: Cross multiply
    140,257.50x = 197,282.25 × 197,282.25
  4. Step 4: Simplify right side
    140,257.50x = 38,920,286,165.06
  5. Step 5: Solve for x
    x = 38,920,286,165.06/140,257.50
  6. Step 6: Final answer
    x = 277,491.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.