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Finding the Third Proportional to 150,246.75 and 306,057.75

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Solution

The third proportional to 150,246.75 and 306,057.75 is: 623,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,246.75 : 306,057.75 = 306,057.75 : x
  2. Step 2: Convert to fraction form
    150,246.75/306,057.75 = 306,057.75/x
  3. Step 3: Cross multiply
    150,246.75x = 306,057.75 × 306,057.75
  4. Step 4: Simplify right side
    150,246.75x = 93,671,346,335.06
  5. Step 5: Solve for x
    x = 93,671,346,335.06/150,246.75
  6. Step 6: Final answer
    x = 623,450.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.