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Finding the Third Proportional to 140,715.75 and 308,202.75

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Solution

The third proportional to 140,715.75 and 308,202.75 is: 675,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,715.75 : 308,202.75 = 308,202.75 : x
  2. Step 2: Convert to fraction form
    140,715.75/308,202.75 = 308,202.75/x
  3. Step 3: Cross multiply
    140,715.75x = 308,202.75 × 308,202.75
  4. Step 4: Simplify right side
    140,715.75x = 94,988,935,107.56
  5. Step 5: Solve for x
    x = 94,988,935,107.56/140,715.75
  6. Step 6: Final answer
    x = 675,041.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.