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Finding the Third Proportional to 200,015.50 and 281,347

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Solution

The third proportional to 200,015.50 and 281,347 is: 395,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,015.50 : 281,347 = 281,347 : x
  2. Step 2: Convert to fraction form
    200,015.50/281,347 = 281,347/x
  3. Step 3: Cross multiply
    200,015.50x = 281,347 × 281,347
  4. Step 4: Simplify right side
    200,015.50x = 79,156,134,409
  5. Step 5: Solve for x
    x = 79,156,134,409/200,015.50
  6. Step 6: Final answer
    x = 395,750.00

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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.