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Finding the Third Proportional to 140,447.50 and 307,170

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Solution

The third proportional to 140,447.50 and 307,170 is: 671,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,447.50 : 307,170 = 307,170 : x
  2. Step 2: Convert to fraction form
    140,447.50/307,170 = 307,170/x
  3. Step 3: Cross multiply
    140,447.50x = 307,170 × 307,170
  4. Step 4: Simplify right side
    140,447.50x = 94,353,408,900
  5. Step 5: Solve for x
    x = 94,353,408,900/140,447.50
  6. Step 6: Final answer
    x = 671,805.54

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