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Finding the Third Proportional to 140,469.75 and 307,172.25

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Solution

The third proportional to 140,469.75 and 307,172.25 is: 671,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469.75 : 307,172.25 = 307,172.25 : x
  2. Step 2: Convert to fraction form
    140,469.75/307,172.25 = 307,172.25/x
  3. Step 3: Cross multiply
    140,469.75x = 307,172.25 × 307,172.25
  4. Step 4: Simplify right side
    140,469.75x = 94,354,791,170.06
  5. Step 5: Solve for x
    x = 94,354,791,170.06/140,469.75
  6. Step 6: Final answer
    x = 671,708.97

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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.