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Finding the Third Proportional to 118,850 and 261,025

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Solution

The third proportional to 118,850 and 261,025 is: 573,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,850 : 261,025 = 261,025 : x
  2. Step 2: Convert to fraction form
    118,850/261,025 = 261,025/x
  3. Step 3: Cross multiply
    118,850x = 261,025 × 261,025
  4. Step 4: Simplify right side
    118,850x = 68,134,050,625
  5. Step 5: Solve for x
    x = 68,134,050,625/118,850
  6. Step 6: Final answer
    x = 573,277.67

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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.