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Finding the Third Proportional to 210,353 and 283,435

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Solution

The third proportional to 210,353 and 283,435 is: 381,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,353 : 283,435 = 283,435 : x
  2. Step 2: Convert to fraction form
    210,353/283,435 = 283,435/x
  3. Step 3: Cross multiply
    210,353x = 283,435 × 283,435
  4. Step 4: Simplify right side
    210,353x = 80,335,399,225
  5. Step 5: Solve for x
    x = 80,335,399,225/210,353
  6. Step 6: Final answer
    x = 381,907.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.