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Finding the Third Proportional to 135,475.50 and 289,632

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Solution

The third proportional to 135,475.50 and 289,632 is: 619,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,475.50 : 289,632 = 289,632 : x
  2. Step 2: Convert to fraction form
    135,475.50/289,632 = 289,632/x
  3. Step 3: Cross multiply
    135,475.50x = 289,632 × 289,632
  4. Step 4: Simplify right side
    135,475.50x = 83,886,695,424
  5. Step 5: Solve for x
    x = 83,886,695,424/135,475.50
  6. Step 6: Final answer
    x = 619,201.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.