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Finding the Third Proportional to 140,652 and 308,007

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Solution

The third proportional to 140,652 and 308,007 is: 674,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,652 : 308,007 = 308,007 : x
  2. Step 2: Convert to fraction form
    140,652/308,007 = 308,007/x
  3. Step 3: Cross multiply
    140,652x = 308,007 × 308,007
  4. Step 4: Simplify right side
    140,652x = 94,868,312,049
  5. Step 5: Solve for x
    x = 94,868,312,049/140,652
  6. Step 6: Final answer
    x = 674,489.61

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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.