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Finding the Third Proportional to 70,290 and 151,806

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Solution

The third proportional to 70,290 and 151,806 is: 327,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,290 : 151,806 = 151,806 : x
  2. Step 2: Convert to fraction form
    70,290/151,806 = 151,806/x
  3. Step 3: Cross multiply
    70,290x = 151,806 × 151,806
  4. Step 4: Simplify right side
    70,290x = 23,045,061,636
  5. Step 5: Solve for x
    x = 23,045,061,636/70,290
  6. Step 6: Final answer
    x = 327,856.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.