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Finding the Third Proportional to 150,276 and 315,144

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Solution

The third proportional to 150,276 and 315,144 is: 660,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,276 : 315,144 = 315,144 : x
  2. Step 2: Convert to fraction form
    150,276/315,144 = 315,144/x
  3. Step 3: Cross multiply
    150,276x = 315,144 × 315,144
  4. Step 4: Simplify right side
    150,276x = 99,315,740,736
  5. Step 5: Solve for x
    x = 99,315,740,736/150,276
  6. Step 6: Final answer
    x = 660,888.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.