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Finding the Third Proportional to 135,840 and 298,572

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Solution

The third proportional to 135,840 and 298,572 is: 656,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,840 : 298,572 = 298,572 : x
  2. Step 2: Convert to fraction form
    135,840/298,572 = 298,572/x
  3. Step 3: Cross multiply
    135,840x = 298,572 × 298,572
  4. Step 4: Simplify right side
    135,840x = 89,145,239,184
  5. Step 5: Solve for x
    x = 89,145,239,184/135,840
  6. Step 6: Final answer
    x = 656,251.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.