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Finding the Third Proportional to 188,689.50 and 275,258.25

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Solution

The third proportional to 188,689.50 and 275,258.25 is: 401,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,689.50 : 275,258.25 = 275,258.25 : x
  2. Step 2: Convert to fraction form
    188,689.50/275,258.25 = 275,258.25/x
  3. Step 3: Cross multiply
    188,689.50x = 275,258.25 × 275,258.25
  4. Step 4: Simplify right side
    188,689.50x = 75,767,104,193.06
  5. Step 5: Solve for x
    x = 75,767,104,193.06/188,689.50
  6. Step 6: Final answer
    x = 401,543.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.