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Finding the Third Proportional to 140,197.50 and 297,921.38

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Solution

The third proportional to 140,197.50 and 297,921.38 is: 633,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,197.50 : 297,921.38 = 297,921.38 : x
  2. Step 2: Convert to fraction form
    140,197.50/297,921.38 = 297,921.38/x
  3. Step 3: Cross multiply
    140,197.50x = 297,921.38 × 297,921.38
  4. Step 4: Simplify right side
    140,197.50x = 88,757,145,681.89
  5. Step 5: Solve for x
    x = 88,757,145,681.89/140,197.50
  6. Step 6: Final answer
    x = 633,086.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.