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Finding the Third Proportional to 145,846.13 and 218,770.88

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Solution

The third proportional to 145,846.13 and 218,770.88 is: 328,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.13 : 218,770.88 = 218,770.88 : x
  2. Step 2: Convert to fraction form
    145,846.13/218,770.88 = 218,770.88/x
  3. Step 3: Cross multiply
    145,846.13x = 218,770.88 × 218,770.88
  4. Step 4: Simplify right side
    145,846.13x = 47,860,695,748.27
  5. Step 5: Solve for x
    x = 47,860,695,748.27/145,846.13
  6. Step 6: Final answer
    x = 328,158.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.