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Finding the Third Proportional to 206,523 and 301,856.50

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Solution

The third proportional to 206,523 and 301,856.50 is: 441,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523 : 301,856.50 = 301,856.50 : x
  2. Step 2: Convert to fraction form
    206,523/301,856.50 = 301,856.50/x
  3. Step 3: Cross multiply
    206,523x = 301,856.50 × 301,856.50
  4. Step 4: Simplify right side
    206,523x = 91,117,346,592.25
  5. Step 5: Solve for x
    x = 91,117,346,592.25/206,523
  6. Step 6: Final answer
    x = 441,197.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.