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Finding the Third Proportional to 150,249 and 306,063.75

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Solution

The third proportional to 150,249 and 306,063.75 is: 623,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,249 : 306,063.75 = 306,063.75 : x
  2. Step 2: Convert to fraction form
    150,249/306,063.75 = 306,063.75/x
  3. Step 3: Cross multiply
    150,249x = 306,063.75 × 306,063.75
  4. Step 4: Simplify right side
    150,249x = 93,675,019,064.06
  5. Step 5: Solve for x
    x = 93,675,019,064.06/150,249
  6. Step 6: Final answer
    x = 623,465.17

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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.