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Finding the Third Proportional to 151,425 and 327,926.25

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Solution

The third proportional to 151,425 and 327,926.25 is: 710,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,425 : 327,926.25 = 327,926.25 : x
  2. Step 2: Convert to fraction form
    151,425/327,926.25 = 327,926.25/x
  3. Step 3: Cross multiply
    151,425x = 327,926.25 × 327,926.25
  4. Step 4: Simplify right side
    151,425x = 107,535,625,439.06
  5. Step 5: Solve for x
    x = 107,535,625,439.06/151,425
  6. Step 6: Final answer
    x = 710,157.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.