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Finding the Third Proportional to 200,657.81 and 275,152.22

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Solution

The third proportional to 200,657.81 and 275,152.22 is: 377,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.81 : 275,152.22 = 275,152.22 : x
  2. Step 2: Convert to fraction form
    200,657.81/275,152.22 = 275,152.22/x
  3. Step 3: Cross multiply
    200,657.81x = 275,152.22 × 275,152.22
  4. Step 4: Simplify right side
    200,657.81x = 75,708,743,483.05
  5. Step 5: Solve for x
    x = 75,708,743,483.05/200,657.81
  6. Step 6: Final answer
    x = 377,302.75

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Why These Related Problems?

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