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Finding the Third Proportional to 200,011.50 and 281,341.25

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Solution

The third proportional to 200,011.50 and 281,341.25 is: 395,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,011.50 : 281,341.25 = 281,341.25 : x
  2. Step 2: Convert to fraction form
    200,011.50/281,341.25 = 281,341.25/x
  3. Step 3: Cross multiply
    200,011.50x = 281,341.25 × 281,341.25
  4. Step 4: Simplify right side
    200,011.50x = 79,152,898,951.56
  5. Step 5: Solve for x
    x = 79,152,898,951.56/200,011.50
  6. Step 6: Final answer
    x = 395,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.