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Finding the Third Proportional to 114,331.50 and 164,419.88

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Solution

The third proportional to 114,331.50 and 164,419.88 is: 236,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,331.50 : 164,419.88 = 164,419.88 : x
  2. Step 2: Convert to fraction form
    114,331.50/164,419.88 = 164,419.88/x
  3. Step 3: Cross multiply
    114,331.50x = 164,419.88 × 164,419.88
  4. Step 4: Simplify right side
    114,331.50x = 27,033,895,295.02
  5. Step 5: Solve for x
    x = 27,033,895,295.02/114,331.50
  6. Step 6: Final answer
    x = 236,451.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.