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Finding the Third Proportional to 140,306.63 and 213,962.63

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Solution

The third proportional to 140,306.63 and 213,962.63 is: 326,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,306.63 : 213,962.63 = 213,962.63 : x
  2. Step 2: Convert to fraction form
    140,306.63/213,962.63 = 213,962.63/x
  3. Step 3: Cross multiply
    140,306.63x = 213,962.63 × 213,962.63
  4. Step 4: Simplify right side
    140,306.63x = 45,780,004,896.89
  5. Step 5: Solve for x
    x = 45,780,004,896.89/140,306.63
  6. Step 6: Final answer
    x = 326,285.41

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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.