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Finding the Third Proportional to 140,504.63 and 214,255.13

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Solution

The third proportional to 140,504.63 and 214,255.13 is: 326,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504.63 : 214,255.13 = 214,255.13 : x
  2. Step 2: Convert to fraction form
    140,504.63/214,255.13 = 214,255.13/x
  3. Step 3: Cross multiply
    140,504.63x = 214,255.13 × 214,255.13
  4. Step 4: Simplify right side
    140,504.63x = 45,905,258,588.77
  5. Step 5: Solve for x
    x = 45,905,258,588.77/140,504.63
  6. Step 6: Final answer
    x = 326,717.06

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Why These Related Problems?

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