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Finding the Third Proportional to 243,706 and 326,004

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Solution

The third proportional to 243,706 and 326,004 is: 436,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,706 : 326,004 = 326,004 : x
  2. Step 2: Convert to fraction form
    243,706/326,004 = 326,004/x
  3. Step 3: Cross multiply
    243,706x = 326,004 × 326,004
  4. Step 4: Simplify right side
    243,706x = 106,278,608,016
  5. Step 5: Solve for x
    x = 106,278,608,016/243,706
  6. Step 6: Final answer
    x = 436,093.52

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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.