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Finding the Third Proportional to 140,984 and 215,940.50

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Solution

The third proportional to 140,984 and 215,940.50 is: 330,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,984 : 215,940.50 = 215,940.50 : x
  2. Step 2: Convert to fraction form
    140,984/215,940.50 = 215,940.50/x
  3. Step 3: Cross multiply
    140,984x = 215,940.50 × 215,940.50
  4. Step 4: Simplify right side
    140,984x = 46,630,299,540.25
  5. Step 5: Solve for x
    x = 46,630,299,540.25/140,984
  6. Step 6: Final answer
    x = 330,748.88

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