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Finding the Third Proportional to 140,512.50 and 214,270

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Solution

The third proportional to 140,512.50 and 214,270 is: 326,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512.50 : 214,270 = 214,270 : x
  2. Step 2: Convert to fraction form
    140,512.50/214,270 = 214,270/x
  3. Step 3: Cross multiply
    140,512.50x = 214,270 × 214,270
  4. Step 4: Simplify right side
    140,512.50x = 45,911,632,900
  5. Step 5: Solve for x
    x = 45,911,632,900/140,512.50
  6. Step 6: Final answer
    x = 326,744.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.