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Finding the Third Proportional to 140,506.21 and 214,257.66

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Solution

The third proportional to 140,506.21 and 214,257.66 is: 326,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506.21 : 214,257.66 = 214,257.66 : x
  2. Step 2: Convert to fraction form
    140,506.21/214,257.66 = 214,257.66/x
  3. Step 3: Cross multiply
    140,506.21x = 214,257.66 × 214,257.66
  4. Step 4: Simplify right side
    140,506.21x = 45,906,343,261.74
  5. Step 5: Solve for x
    x = 45,906,343,261.74/140,506.21
  6. Step 6: Final answer
    x = 326,721.11

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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.