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Finding the Third Proportional to 215,988.75 and 304,026.75

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Solution

The third proportional to 215,988.75 and 304,026.75 is: 427,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,988.75 : 304,026.75 = 304,026.75 : x
  2. Step 2: Convert to fraction form
    215,988.75/304,026.75 = 304,026.75/x
  3. Step 3: Cross multiply
    215,988.75x = 304,026.75 × 304,026.75
  4. Step 4: Simplify right side
    215,988.75x = 92,432,264,715.56
  5. Step 5: Solve for x
    x = 92,432,264,715.56/215,988.75
  6. Step 6: Final answer
    x = 427,949.44

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