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Finding the Third Proportional to 260,937 and 403,194

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Solution

The third proportional to 260,937 and 403,194 is: 623,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,937 : 403,194 = 403,194 : x
  2. Step 2: Convert to fraction form
    260,937/403,194 = 403,194/x
  3. Step 3: Cross multiply
    260,937x = 403,194 × 403,194
  4. Step 4: Simplify right side
    260,937x = 162,565,401,636
  5. Step 5: Solve for x
    x = 162,565,401,636/260,937
  6. Step 6: Final answer
    x = 623,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.