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Finding the Third Proportional to 260,068 and 348,630

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Solution

The third proportional to 260,068 and 348,630 is: 467,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,068 : 348,630 = 348,630 : x
  2. Step 2: Convert to fraction form
    260,068/348,630 = 348,630/x
  3. Step 3: Cross multiply
    260,068x = 348,630 × 348,630
  4. Step 4: Simplify right side
    260,068x = 121,542,876,900
  5. Step 5: Solve for x
    x = 121,542,876,900/260,068
  6. Step 6: Final answer
    x = 467,350.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.