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Finding the Third Proportional to 140,505.47 and 214,277.91

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Solution

The third proportional to 140,505.47 and 214,277.91 is: 326,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,505.47 : 214,277.91 = 214,277.91 : x
  2. Step 2: Convert to fraction form
    140,505.47/214,277.91 = 214,277.91/x
  3. Step 3: Cross multiply
    140,505.47x = 214,277.91 × 214,277.91
  4. Step 4: Simplify right side
    140,505.47x = 45,915,021,106.88
  5. Step 5: Solve for x
    x = 45,915,021,106.88/140,505.47
  6. Step 6: Final answer
    x = 326,784.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.