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Finding the Third Proportional to 256,819.50 and 553,167

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Solution

The third proportional to 256,819.50 and 553,167 is: 1,191,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819.50 : 553,167 = 553,167 : x
  2. Step 2: Convert to fraction form
    256,819.50/553,167 = 553,167/x
  3. Step 3: Cross multiply
    256,819.50x = 553,167 × 553,167
  4. Step 4: Simplify right side
    256,819.50x = 305,993,729,889
  5. Step 5: Solve for x
    x = 305,993,729,889/256,819.50
  6. Step 6: Final answer
    x = 1,191,473.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.