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Finding the Third Proportional to 179,235 and 243,567

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Solution

The third proportional to 179,235 and 243,567 is: 330,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,235 : 243,567 = 243,567 : x
  2. Step 2: Convert to fraction form
    179,235/243,567 = 243,567/x
  3. Step 3: Cross multiply
    179,235x = 243,567 × 243,567
  4. Step 4: Simplify right side
    179,235x = 59,324,883,489
  5. Step 5: Solve for x
    x = 59,324,883,489/179,235
  6. Step 6: Final answer
    x = 330,989.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.