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Finding the Third Proportional to 140,097.21 and 302,337.80

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Solution

The third proportional to 140,097.21 and 302,337.80 is: 652,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,097.21 : 302,337.80 = 302,337.80 : x
  2. Step 2: Convert to fraction form
    140,097.21/302,337.80 = 302,337.80/x
  3. Step 3: Cross multiply
    140,097.21x = 302,337.80 × 302,337.80
  4. Step 4: Simplify right side
    140,097.21x = 91,408,145,190.73
  5. Step 5: Solve for x
    x = 91,408,145,190.73/140,097.21
  6. Step 6: Final answer
    x = 652,462.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.