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Finding the Third Proportional to 114,889.50 and 165,476.25

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Solution

The third proportional to 114,889.50 and 165,476.25 is: 238,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,889.50 : 165,476.25 = 165,476.25 : x
  2. Step 2: Convert to fraction form
    114,889.50/165,476.25 = 165,476.25/x
  3. Step 3: Cross multiply
    114,889.50x = 165,476.25 × 165,476.25
  4. Step 4: Simplify right side
    114,889.50x = 27,382,389,314.06
  5. Step 5: Solve for x
    x = 27,382,389,314.06/114,889.50
  6. Step 6: Final answer
    x = 238,336.74

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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.