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Finding the Third Proportional to 206,404.88 and 305,780.06

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Solution

The third proportional to 206,404.88 and 305,780.06 is: 453,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.88 : 305,780.06 = 305,780.06 : x
  2. Step 2: Convert to fraction form
    206,404.88/305,780.06 = 305,780.06/x
  3. Step 3: Cross multiply
    206,404.88x = 305,780.06 × 305,780.06
  4. Step 4: Simplify right side
    206,404.88x = 93,501,446,622.50
  5. Step 5: Solve for x
    x = 93,501,446,622.50/206,404.88
  6. Step 6: Final answer
    x = 453,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.