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Finding the Third Proportional to 150,811.50 and 314,027.25

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Solution

The third proportional to 150,811.50 and 314,027.25 is: 653,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,811.50 : 314,027.25 = 314,027.25 : x
  2. Step 2: Convert to fraction form
    150,811.50/314,027.25 = 314,027.25/x
  3. Step 3: Cross multiply
    150,811.50x = 314,027.25 × 314,027.25
  4. Step 4: Simplify right side
    150,811.50x = 98,613,113,742.56
  5. Step 5: Solve for x
    x = 98,613,113,742.56/150,811.50
  6. Step 6: Final answer
    x = 653,883.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.