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Finding the Third Proportional to 118,668 and 260,670

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Solution

The third proportional to 118,668 and 260,670 is: 572,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,668 : 260,670 = 260,670 : x
  2. Step 2: Convert to fraction form
    118,668/260,670 = 260,670/x
  3. Step 3: Cross multiply
    118,668x = 260,670 × 260,670
  4. Step 4: Simplify right side
    118,668x = 67,948,848,900
  5. Step 5: Solve for x
    x = 67,948,848,900/118,668
  6. Step 6: Final answer
    x = 572,596.23

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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.