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Finding the Third Proportional to 140,107.50 and 221,502.38

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Solution

The third proportional to 140,107.50 and 221,502.38 is: 350,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,107.50 : 221,502.38 = 221,502.38 : x
  2. Step 2: Convert to fraction form
    140,107.50/221,502.38 = 221,502.38/x
  3. Step 3: Cross multiply
    140,107.50x = 221,502.38 × 221,502.38
  4. Step 4: Simplify right side
    140,107.50x = 49,063,302,130.64
  5. Step 5: Solve for x
    x = 49,063,302,130.64/140,107.50
  6. Step 6: Final answer
    x = 350,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.