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Finding the Third Proportional to 140,825.25 and 221,308.88

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Solution

The third proportional to 140,825.25 and 221,308.88 is: 347,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,825.25 : 221,308.88 = 221,308.88 : x
  2. Step 2: Convert to fraction form
    140,825.25/221,308.88 = 221,308.88/x
  3. Step 3: Cross multiply
    140,825.25x = 221,308.88 × 221,308.88
  4. Step 4: Simplify right side
    140,825.25x = 48,977,618,153.77
  5. Step 5: Solve for x
    x = 48,977,618,153.77/140,825.25
  6. Step 6: Final answer
    x = 347,790.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.