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Finding the Third Proportional to 106,943 and 229,678

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Solution

The third proportional to 106,943 and 229,678 is: 493,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,943 : 229,678 = 229,678 : x
  2. Step 2: Convert to fraction form
    106,943/229,678 = 229,678/x
  3. Step 3: Cross multiply
    106,943x = 229,678 × 229,678
  4. Step 4: Simplify right side
    106,943x = 52,751,983,684
  5. Step 5: Solve for x
    x = 52,751,983,684/106,943
  6. Step 6: Final answer
    x = 493,271.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.