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Finding the Third Proportional to 206,890.50 and 316,353

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Solution

The third proportional to 206,890.50 and 316,353 is: 483,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890.50 : 316,353 = 316,353 : x
  2. Step 2: Convert to fraction form
    206,890.50/316,353 = 316,353/x
  3. Step 3: Cross multiply
    206,890.50x = 316,353 × 316,353
  4. Step 4: Simplify right side
    206,890.50x = 100,079,220,609
  5. Step 5: Solve for x
    x = 100,079,220,609/206,890.50
  6. Step 6: Final answer
    x = 483,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.