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Finding the Third Proportional to 215,550 and 289,971

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Solution

The third proportional to 215,550 and 289,971 is: 390,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,550 : 289,971 = 289,971 : x
  2. Step 2: Convert to fraction form
    215,550/289,971 = 289,971/x
  3. Step 3: Cross multiply
    215,550x = 289,971 × 289,971
  4. Step 4: Simplify right side
    215,550x = 84,083,180,841
  5. Step 5: Solve for x
    x = 84,083,180,841/215,550
  6. Step 6: Final answer
    x = 390,086.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.