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Finding the Third Proportional to 140,696 and 308,073

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Solution

The third proportional to 140,696 and 308,073 is: 674,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,696 : 308,073 = 308,073 : x
  2. Step 2: Convert to fraction form
    140,696/308,073 = 308,073/x
  3. Step 3: Cross multiply
    140,696x = 308,073 × 308,073
  4. Step 4: Simplify right side
    140,696x = 94,908,973,329
  5. Step 5: Solve for x
    x = 94,908,973,329/140,696
  6. Step 6: Final answer
    x = 674,567.67

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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.