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Finding the Third Proportional to 200,662.50 and 275,157

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Solution

The third proportional to 200,662.50 and 275,157 is: 377,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,662.50 : 275,157 = 275,157 : x
  2. Step 2: Convert to fraction form
    200,662.50/275,157 = 275,157/x
  3. Step 3: Cross multiply
    200,662.50x = 275,157 × 275,157
  4. Step 4: Simplify right side
    200,662.50x = 75,711,374,649
  5. Step 5: Solve for x
    x = 75,711,374,649/200,662.50
  6. Step 6: Final answer
    x = 377,307.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.