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Finding the Third Proportional to 140,193 and 307,527.75

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Solution

The third proportional to 140,193 and 307,527.75 is: 674,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,193 : 307,527.75 = 307,527.75 : x
  2. Step 2: Convert to fraction form
    140,193/307,527.75 = 307,527.75/x
  3. Step 3: Cross multiply
    140,193x = 307,527.75 × 307,527.75
  4. Step 4: Simplify right side
    140,193x = 94,573,317,020.06
  5. Step 5: Solve for x
    x = 94,573,317,020.06/140,193
  6. Step 6: Final answer
    x = 674,593.72

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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.